28,800
28,800 is a composite number, even.
28,800 (twenty-eight thousand eight hundred) is an even 5-digit number. It is a composite number with 72 divisors, and factors as 2⁷ × 3² × 5². Its proper divisors sum to 73,965, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7080.
Interestingness
Properties
- Parity
- Even
- Digit count
- 5
- Digit sum
- 18
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 15 bits
- Reversed
- 882
- Recamán's sequence
- a(10,199) = 28,800
- Square (n²)
- 829,440,000
- Cube (n³)
- 23,887,872,000,000
- Divisor count
- 72
- σ(n) — sum of divisors
- 102,765
- φ(n) — Euler's totient
- 7,680
- Sum of prime factors
- 30
Primality
Prime factorization: 2 7 × 3 2 × 5 2
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√28,800 = [169; (1, 2, 2, 1, 1, 12, 1, 83, 1, 12, 1, 1, 2, 2, 1, 338)]
Period length 16 — the block in parentheses repeats forever.
Representations
- In words
- twenty-eight thousand eight hundred
- Ordinal
- 28800th
- Binary
- 111000010000000
- Octal
- 70200
- Hexadecimal
- 0x7080
- Base64
- cIA=
- One's complement
- 36,735 (16-bit)
- Scientific notation
- 2.88 × 10⁴
- As a duration
- 28,800 s = 8 hours
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · ·
- Egyptian hieroglyphic
- 𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵κηωʹ
- Mayan (base 20)
- 𝋣·𝋬·𝋠·𝋠
- Chinese
- 二萬八千八百
- Chinese (financial)
- 貳萬捌仟捌佰
Digit at this position in famous constants
- π — Pi (π)
- Digit 28,800 = 7
- e — Euler's number (e)
- Digit 28,800 = 8
- φ — Golden ratio (φ)
- Digit 28,800 = 1
- √2 — Pythagoras's (√2)
- Digit 28,800 = 2
- ln 2 — Natural log of 2
- Digit 28,800 = 6
- γ — Euler-Mascheroni (γ)
- Digit 28,800 = 8
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 28800, here are decompositions:
- 7 + 28793 = 28800
- 11 + 28789 = 28800
- 29 + 28771 = 28800
- 41 + 28759 = 28800
- 47 + 28753 = 28800
- 71 + 28729 = 28800
- 89 + 28711 = 28800
- 97 + 28703 = 28800
Showing the first eight; more decompositions exist.
UTF-8 encoding: E7 82 80 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.112.128.
- Address
- 0.0.112.128
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.112.128
Unspecified address (0.0.0.0/8) — "this network" placeholder.
The digit sequence 28800 first appears in π at position 166,547 of the decimal expansion (the 166,547ordinal-suffix:th 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
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.