Number

928

928 is a composite number, even, a calendar year.

928 (nine hundred twenty-eight) is an even 3-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 29. Its proper divisors sum to 962, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is CMXXVIII and in binary, 1110100000.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number Year

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940

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Historical context — 928 AD

Calendar year

Year 928 (CMXXVIII) was a leap year starting on Tuesday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Historical context — 928 BC

Decade

The 920s BC is a decade that lasted from 929 BC to 920 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 Read the full article on Wikipedia →

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 928
Ended on: Friday
December 31, 928
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 920s
920–929
Century: 10th century
901–1000
Millennium: 1st millennium
1–1000
Years ago: 1,098
1098 years before 2026.

In other calendars

Hebrew: 4688 / 4689 AM
Rosh Hashanah falls in September/October.
Islamic Hijri: 315 / 316 AH
Lunar calendar; year spans differ from Gregorian.
Chinese: Year of the zodiac:Earth zodiac:Rat
Sexagenary cycle position 25 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 1471 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri: 306 / 307 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian: 920 / 921 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 850 / 849 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 19
Digit product: 144
Digital root: 1
Palindrome: No
Bit width: 10 bits
Reversed: 829
Recamán's sequence: a(607) = 928
Square (n²): 861,184
Cube (n³): 799,178,752
Divisor count: 12
σ(n) — sum of divisors: 1,890
φ(n) — Euler's totient: 448
Sum of prime factors: 39

Primality

Prime factorization: 2 ⁵ × 29

Nearest primes: 919 (−9) · 929 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 116 · 232 · 464 (half) · 928

Aliquot sum (sum of proper divisors): 962

Factor pairs (a × b = 928)

1 × 928

2 × 464

4 × 232

8 × 116

16 × 58

29 × 32

First multiples

928 · 1,856 (double) · 2,784 · 3,712 · 4,640 · 5,568 · 6,496 · 7,424 · 8,352 · 9,280

Sums & aliquot sequence

As a sum of two squares: 12² + 28²

As consecutive integers: 18 + 19 + … + 46

Aliquot sequence: 928 → 962 → 634 → 320 → 442 → 314 → 160 → 218 → 112 → 136 → 134 → 70 → 74 → 40 → 50 → 43 → 1 — unresolved within range

Continued fraction of √n

√928 = [30; (2, 6, 3, 1, 1, 1, 8, 15, 8, 1, 1, 1, 3, 6, 2, 60)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: nine hundred twenty-eight
Ordinal: 928th
Roman numeral: CMXXVIII
Binary: 1110100000
Octal: 1640
Hexadecimal: 0x3A0
Base64: A6A=
One's complement: 64,607 (16-bit)
Scientific notation: 9.28 × 10²
As a duration: 928 s = 15 minutes, 28 seconds

In other bases

ternary (3) 1021101

quaternary (4) 32200

quinary (5) 12203

senary (6) 4144

septenary (7) 2464

nonary (9) 1241

undecimal (11) 774

duodecimal (12) 654

tridecimal (13) 565

tetradecimal (14) 4a4

pentadecimal (15) 41d

Palindromic in base 13, base 14

As an angle

928° = 2 × 360° + 208°

208° ≈ 3.63 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ϡκηʹ
Mayan (base 20): 𝋢·𝋦·𝋨
Chinese: 九百二十八
Chinese (financial): 玖佰貳拾捌

In other modern scripts

Eastern Arabic ٩٢٨ Devanagari ९२८ Bengali ৯২৮ Tamil ௯௨௮ Thai ๙๒๘ Tibetan ༩༢༨ Khmer ៩២៨ Lao ໙໒໘ Burmese ၉၂၈

Digit at this position in famous constants

π — Pi (π): Digit 928 = 2
e — Euler's number (e): Digit 928 = 9
φ — Golden ratio (φ): Digit 928 = 9
√2 — Pythagoras's (√2): Digit 928 = 0
ln 2 — Natural log of 2: Digit 928 = 5
γ — Euler-Mascheroni (γ): Digit 928 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 928, here are decompositions:

17 + 911 = 928
41 + 887 = 928
47 + 881 = 928
71 + 857 = 928
89 + 839 = 928
101 + 827 = 928
107 + 821 = 928
131 + 797 = 928

Showing the first eight; more decompositions exist.

Unicode codepoint

Greek Capital Letter Pi

U+03A0

Uppercase letter (Lu)

UTF-8 encoding: CE A0 (2 bytes).

Lookup U+03A0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0003A0

RGB(0, 3, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.160.

Address: 0.0.3.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.3.160

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 928

The number 928 is an active NANP area code (North American Numbering Plan).

Primary area: Flagstaff / Yuma
Region: Arizona
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 928 ↗

Musical pitch

Heard as a frequency, 928 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯5 (932.3 Hz, -8¢)
Scientific pitch (C4 = 256 Hz): A♯5 (912.3 Hz, +30¢)
Baroque pitch (A4 = 415 Hz): B5 (931.6 Hz, -7¢)