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28028813472 = 25321123384673
BaseRepresentation
bin11010000110101001…
…011100000010100000
32200100101011020210200
4122012221130002200
5424400334012342
620513134425200
72011402661232
oct320651340240
980311136720
1028028813472
1110983597460
125522962200
132848b9893a
1414dc730252
15ae0a5894c
hex686a5c0a0

28028813472 has 144 divisors (see below), whose sum is σ = 90733825728. Its totient is φ = 8124272640.

The previous prime is 28028813459. The next prime is 28028813473. The reversal of 28028813472 is 27431882082.

28028813472 is a `hidden beast` number, since 2 + 80 + 28 + 81 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×280288134722 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28028813473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119473 + ... + 265200.

It is an arithmetic number, because the mean of its divisors is an integer number (630096012).

Almost surely, 228028813472 is an apocalyptic number.

28028813472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

28028813472 is an abundant number, since it is smaller than the sum of its proper divisors (62705012256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28028813472 is a wasteful number, since it uses less digits than its factorization.

28028813472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384723 (or 384712 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28028813472 in words is "twenty-eight billion, twenty-eight million, eight hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1518 1584 1656 2024 2208 2277 3036 3168 3312 4048 4554 6072 6624 8096 9108 12144 18216 24288 36432 72864 384673 769346 1154019 1538692 2308038 3077384 3462057 4231403 4616076 6154768 6924114 8462806 8847479 9232152 12309536 12694209 13848228 16925612 17694958 18464304 25388418 26542437 27696456 33851224 35389916 36928608 38082627 50776836 53084874 55392912 67702448 70779832 76165254 79627311 97322269 101553672 106169748 110785824 135404896 141559664 152330508 159254622 194644538 203107344 212339496 283119328 291966807 304661016 318509244 389289076 406214688 424678992 583933614 609322032 637018488 778578152 849357984 875900421 1167867228 1218644064 1274036976 1557156304 1751800842 2335734456 2548073952 3114312608 3503601684 4671468912 7007203368 9342937824 14014406736 28028813472