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28,320

28,320 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 Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
2,382
Recamán's sequence
a(80,500) = 28,320
Square (n²)
802,022,400
Cube (n³)
22,713,274,368,000
Divisor count
48
σ(n) — sum of divisors
90,720
φ(n) — Euler's totient
7,424
Sum of prime factors
77

Primality

Prime factorization: 2 5 × 3 × 5 × 59

Nearest primes: 28,319 (−1) · 28,349 (+29)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 24 · 30 · 32 · 40 · 48 · 59 · 60 · 80 · 96 · 118 · 120 · 160 · 177 · 236 · 240 · 295 · 354 · 472 · 480 · 590 · 708 · 885 · 944 · 1180 · 1416 · 1770 · 1888 · 2360 · 2832 · 3540 · 4720 · 5664 · 7080 · 9440 · 14160 (half) · 28320
Aliquot sum (sum of proper divisors): 62,400
Factor pairs (a × b = 28,320)
1 × 28320
2 × 14160
3 × 9440
4 × 7080
5 × 5664
6 × 4720
8 × 3540
10 × 2832
12 × 2360
15 × 1888
16 × 1770
20 × 1416
24 × 1180
30 × 944
32 × 885
40 × 708
48 × 590
59 × 480
60 × 472
80 × 354
96 × 295
118 × 240
120 × 236
160 × 177
First multiples
28,320 · 56,640 (double) · 84,960 · 113,280 · 141,600 · 169,920 · 198,240 · 226,560 · 254,880 · 283,200

Sums & aliquot sequence

As consecutive integers: 9,439 + 9,440 + 9,441 5,662 + 5,663 + 5,664 + 5,665 + 5,666 1,881 + 1,882 + … + 1,895 451 + 452 + … + 509
Aliquot sequence: 28,320 62,400 158,072 138,328 121,052 95,164 76,140 167,796 269,004 381,156 547,548 745,380 1,593,684 2,434,886 1,217,446 626,114 338,554 — unresolved within range

Representations

In words
twenty-eight thousand three hundred twenty
Ordinal
28320th
Binary
110111010100000
Octal
67240
Hexadecimal
0x6EA0
Base64
bqA=
One's complement
37,215 (16-bit)
In other bases
ternary (3) 1102211220
quaternary (4) 12322200
quinary (5) 1401240
senary (6) 335040
septenary (7) 145365
nonary (9) 42756
undecimal (11) 1a306
duodecimal (12) 14480
tridecimal (13) cb76
tetradecimal (14) a46c
pentadecimal (15) 85d0

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵κητκʹ
Mayan (base 20)
𝋣·𝋪·𝋰·𝋠
Chinese
二萬八千三百二十
Chinese (financial)
貳萬捌仟參佰貳拾
In other modern scripts
Eastern Arabic ٢٨٣٢٠ Devanagari २८३२० Bengali ২৮৩২০ Tamil ௨௮௩௨௦ Thai ๒๘๓๒๐ Tibetan ༢༨༣༢༠ Khmer ២៨៣២០ Lao ໒໘໓໒໐ Burmese ၂၈၃၂၀

Digit at this position in famous constants

π — Pi (π)
Digit 28,320 = 8
e — Euler's number (e)
Digit 28,320 = 3
φ — Golden ratio (φ)
Digit 28,320 = 7
√2 — Pythagoras's (√2)
Digit 28,320 = 8
ln 2 — Natural log of 2
Digit 28,320 = 1
γ — Euler-Mascheroni (γ)
Digit 28,320 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 28320, here are decompositions:

  • 11 + 28309 = 28320
  • 13 + 28307 = 28320
  • 23 + 28297 = 28320
  • 31 + 28289 = 28320
  • 37 + 28283 = 28320
  • 41 + 28279 = 28320
  • 43 + 28277 = 28320
  • 101 + 28219 = 28320

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-6Ea0
U+6EA0
Other letter (Lo)

UTF-8 encoding: E6 BA A0 (3 bytes).

Hex color
#006EA0
RGB(0, 110, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.110.160.

Address
0.0.110.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.110.160

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

Position in π

The digit sequence 28320 first appears in π at position 484,019 of the decimal expansion (the 484,019ordinal-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.