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Number

1,028

1,028 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Pernicious Number Recamán's Sequence Year

Historical context — 1028 AD

Calendar year

Year 1028 (MXXVIII) was a leap year starting on Monday of the Julian calendar.

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
Tuesday
January 1, 1028
Ended on
Wednesday
December 31, 1028
Friday the 13ths
1
One Friday the 13th this year.
Decade
1020s
1020–1029
Century
11th century
1001–1100
Millennium
2nd millennium
1001–2000
Years ago
998
998 years before 2026.

In other calendars

Hebrew
4788 / 4789 AM
Rosh Hashanah falls in September/October.
Islamic Hijri
418 / 419 AH
Lunar calendar; year spans differ from Gregorian.
Chinese
Year of the zodiac:Earth zodiac:Dragon
Sexagenary cycle position 5 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era
1571 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Persian Solar Hijri
406 / 407 SH
Iranian calendar; Nowruz (new year) falls on the spring equinox.
Ethiopian
1020 / 1021 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka)
950 / 949 Saka
Indian national calendar; year starts in March.

Properties

Parity
Even
Digit count
4
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
11 bits
Reversed
8,201
Recamán's sequence
a(4,363) = 1,028
Square (n²)
1,056,784
Cube (n³)
1,086,373,952
Divisor count
6
σ(n) — sum of divisors
1,806
φ(n) — Euler's totient
512
Sum of prime factors
261

Primality

Prime factorization: 2 2 × 257

Nearest primes: 1,021 (−7) · 1,031 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 257 · 514 (half) · 1028
Aliquot sum (sum of proper divisors): 778
Factor pairs (a × b = 1,028)
1 × 1028
2 × 514
4 × 257
First multiples
1,028 · 2,056 (double) · 3,084 · 4,112 · 5,140 · 6,168 · 7,196 · 8,224 · 9,252 · 10,280

Sums & aliquot sequence

As a sum of two squares: 2² + 32²
As consecutive integers: 125 + 126 + … + 132
Aliquot sequence: 1,028 778 392 463 1 0 — terminates at zero

Representations

In words
one thousand twenty-eight
Ordinal
1028th
Roman numeral
MXXVIII
Binary
10000000100
Octal
2004
Hexadecimal
0x404
Base64
BAQ=
One's complement
64,507 (16-bit)
In other bases
ternary (3) 1102002
quaternary (4) 100010
quinary (5) 13103
senary (6) 4432
septenary (7) 2666
nonary (9) 1362
undecimal (11) 855
duodecimal (12) 718
tridecimal (13) 611
tetradecimal (14) 536
pentadecimal (15) 488

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ακηʹ
Mayan (base 20)
𝋢·𝋫·𝋨
Chinese
一千零二十八
Chinese (financial)
壹仟零貳拾捌
In other modern scripts
Eastern Arabic ١٠٢٨ Devanagari १०२८ Bengali ১০২৮ Tamil ௧௦௨௮ Thai ๑๐๒๘ Tibetan ༡༠༢༨ Khmer ១០២៨ Lao ໑໐໒໘ Burmese ၁၀၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 1,028 = 9
e — Euler's number (e)
Digit 1,028 = 1
φ — Golden ratio (φ)
Digit 1,028 = 8
√2 — Pythagoras's (√2)
Digit 1,028 = 2
ln 2 — Natural log of 2
Digit 1,028 = 6
γ — Euler-Mascheroni (γ)
Digit 1,028 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1028, here are decompositions:

  • 7 + 1021 = 1028
  • 19 + 1009 = 1028
  • 31 + 997 = 1028
  • 37 + 991 = 1028
  • 61 + 967 = 1028
  • 109 + 919 = 1028
  • 151 + 877 = 1028
  • 199 + 829 = 1028

Showing the first eight; more decompositions exist.

Unicode codepoint
Є
Cyrillic Capital Letter Ukrainian Ie
U+0404
Uppercase letter (Lu)

UTF-8 encoding: D0 84 (2 bytes).

Hex color
#000404
RGB(0, 4, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.4.4.

Address
0.0.4.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.4.4

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

Position in π

The digit sequence 1028 first appears in π at position 3,241 of the decimal expansion (the 3,241ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.