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Number

828

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

Abundant Number Evil Number Harshad / Niven Palindrome Practical Number Recamán's Sequence Self Number Semiperfect Number Year

Historical context — 828 AD

Calendar year

Year 828 (DCCCXXVIII) was a leap year starting on Wednesday of the Julian calendar.

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

Historical context — 828 BC

Decade

This article concerns the period 829 BC – 820 BC.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback 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
52
Started on
Saturday
January 1, 828
Ended on
Sunday
December 31, 828
Friday the 13ths
1
One Friday the 13th this year.
Decade
820s
820–829
Century
9th century
801–900
Millennium
1st millennium
1–1000
Years ago
1,198
1198 years before 2026.

In other calendars

Hebrew
4588 / 4589 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
212 / 213 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Monkey
Sexagenary cycle position 45 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1371 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
206 / 207 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
820 / 821 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
750 / 749 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
3
Digit sum
18
Digit product
128
Digital root
9
Palindrome
Yes
Bit width
10 bits
Recamán's sequence
a(30,768) = 828
Square (n²)
685,584
Cube (n³)
567,663,552
Divisor count
18
σ(n) — sum of divisors
2,184
φ(n) — Euler's totient
264
Sum of prime factors
33

Primality

Prime factorization: 2 2 × 3 2 × 23

Nearest primes: 827 (−1) · 829 (+1)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 23 · 36 · 46 · 69 · 92 · 138 · 207 · 276 · 414 (half) · 828
Aliquot sum (sum of proper divisors): 1,356
Factor pairs (a × b = 828)
1 × 828
2 × 414
3 × 276
4 × 207
6 × 138
9 × 92
12 × 69
18 × 46
23 × 36
First multiples
828 · 1,656 (double) · 2,484 · 3,312 · 4,140 · 4,968 · 5,796 · 6,624 · 7,452 · 8,280

Sums & aliquot sequence

As consecutive integers: 275 + 276 + 277 100 + 101 + … + 107 88 + 89 + … + 96 25 + 26 + … + 47
Aliquot sequence: 828 1,356 1,836 3,204 4,986 5,856 9,768 17,592 26,448 47,952 94,586 47,296 46,684 42,524 31,900 46,220 50,884 — unresolved within range

Representations

In words
eight hundred twenty-eight
Ordinal
828th
Roman numeral
DCCCXXVIII
Binary
1100111100
Octal
1474
Hexadecimal
0x33C
Base64
Azw=
One's complement
64,707 (16-bit)
In other bases
ternary (3) 1010200
quaternary (4) 30330
quinary (5) 11303
senary (6) 3500
septenary (7) 2262
nonary (9) 1120
undecimal (11) 693
duodecimal (12) 590
tridecimal (13) 4b9
tetradecimal (14) 432
pentadecimal (15) 3a3

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
ωκηʹ
Mayan (base 20)
𝋢·𝋡·𝋨
Chinese
八百二十八
Chinese (financial)
捌佰貳拾捌
In other modern scripts
Eastern Arabic ٨٢٨ Devanagari ८२८ Bengali ৮২৮ Tamil ௮௨௮ Thai ๘๒๘ Tibetan ༨༢༨ Khmer ៨២៨ Lao ໘໒໘ Burmese ၈၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 828 = 0
e — Euler's number (e)
Digit 828 = 0
φ — Golden ratio (φ)
Digit 828 = 0
√2 — Pythagoras's (√2)
Digit 828 = 9
ln 2 — Natural log of 2
Digit 828 = 5
γ — Euler-Mascheroni (γ)
Digit 828 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 828, here are decompositions:

  • 5 + 823 = 828
  • 7 + 821 = 828
  • 17 + 811 = 828
  • 19 + 809 = 828
  • 31 + 797 = 828
  • 41 + 787 = 828
  • 59 + 769 = 828
  • 67 + 761 = 828

Showing the first eight; more decompositions exist.

Unicode codepoint
̼
Combining Seagull Below
U+033C
Non-spacing mark (Mn)

UTF-8 encoding: CC BC (2 bytes).

Hex color
#00033C
RGB(0, 3, 60)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.3.60.

Address
0.0.3.60
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.3.60

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

NANP area code 828

The number 828 is an active NANP area code (North American Numbering Plan).

Primary area
Asheville
Region
North Carolina
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.