1,028
1,028 is a composite number, even, a calendar year.
1,028 (one thousand twenty-eight) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 257. Written other ways, in Roman numerals it is MXXVIII and in binary, 10000000100.
Interestingness
Historical context — 1028 AD
Calendar year
Year 1028 (MXXVIII) was a leap year starting on Monday of the Julian calendar.
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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
Primality
Prime factorization: 2 2 × 257
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√1,028 = [32; (16, 64)]
Period length 2 — the block in parentheses repeats forever.
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)
- Scientific notation
- 1.028 × 10³
- As a duration
- 1,028 s = 17 minutes, 8 seconds
As an angle
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
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'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.
UTF-8 encoding: D0 84 (2 bytes).
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.
Heard as a frequency, 1,028 Hz is closest to:
- Concert pitch (A4 = 440 Hz): C6 (1046.5 Hz, -31¢)
- Scientific pitch (C4 = 256 Hz): C6 (1024 Hz, +7¢)
- Baroque pitch (A4 = 415 Hz): C♯6 (1045.7 Hz, -30¢)
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.
Related reading
- Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.