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28,800

28,800 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Abundant Number Achilles Number Evil Number Gapful Number Harshad / Niven Powerful Number Practical Number Recamán's Sequence Weird Number

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

Nearest primes: 28,793 (−7) · 28,807 (+7)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 20 · 24 · 25 · 30 · 32 · 36 · 40 · 45 · 48 · 50 · 60 · 64 · 72 · 75 · 80 · 90 · 96 · 100 · 120 · 128 · 144 · 150 · 160 · 180 · 192 · 200 · 225 · 240 · 288 · 300 · 320 · 360 · 384 · 400 · 450 · 480 · 576 · 600 · 640 · 720 · 800 · 900 · 960 · 1152 · 1200 · 1440 · 1600 · 1800 · 1920 · 2400 · 2880 · 3200 · 3600 · 4800 · 5760 · 7200 · 9600 · 14400 (half) · 28800
Aliquot sum (sum of proper divisors): 73,965
Factor pairs (a × b = 28,800)
1 × 28800
2 × 14400
3 × 9600
4 × 7200
5 × 5760
6 × 4800
8 × 3600
9 × 3200
10 × 2880
12 × 2400
15 × 1920
16 × 1800
18 × 1600
20 × 1440
24 × 1200
25 × 1152
30 × 960
32 × 900
36 × 800
40 × 720
45 × 640
48 × 600
50 × 576
60 × 480
64 × 450
72 × 400
75 × 384
80 × 360
90 × 320
96 × 300
100 × 288
120 × 240
128 × 225
144 × 200
150 × 192
160 × 180
First multiples
28,800 · 57,600 (double) · 86,400 · 115,200 · 144,000 · 172,800 · 201,600 · 230,400 · 259,200 · 288,000

Sums & aliquot sequence

As a sum of two squares: 24² + 168² = 120² + 120²
As consecutive integers: 9,599 + 9,600 + 9,601 5,758 + 5,759 + 5,760 + 5,761 + 5,762 3,196 + 3,197 + … + 3,204 1,913 + 1,914 + … + 1,927
Aliquot sequence: 28,800 73,965 44,403 19,605 11,787 3,933 2,307 773 1 0 — terminates at zero

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)
In other bases
ternary (3) 1110111200
quaternary (4) 13002000
quinary (5) 1410200
senary (6) 341200
septenary (7) 146652
nonary (9) 43450
undecimal (11) 1a702
duodecimal (12) 14800
tridecimal (13) 10155
tetradecimal (14) a6d2
pentadecimal (15) 8800

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
In other modern scripts
Eastern Arabic ٢٨٨٠٠ Devanagari २८८०० Bengali ২৮৮০০ Tamil ௨௮௮௦௦ Thai ๒๘๘๐๐ Tibetan ༢༨༨༠༠ Khmer ២៨៨០០ Lao ໒໘໘໐໐ Burmese ၂၈၈၀၀

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 decomposition

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.

Unicode codepoint
CJK Unified Ideograph-7080
U+7080
Other letter (Lo)

UTF-8 encoding: E7 82 80 (3 bytes).

Hex color
#007080
RGB(0, 112, 128)
IPv4 address

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.

Position in π

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.