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28656670600 = 2352232436299
BaseRepresentation
bin11010101100000100…
…100001011110001000
32201222010120200212101
4122230010201132020
5432142101424400
621055323523144
72033065452415
oct325404413610
981863520771
1028656670600
1111175a41848
1256790894b4
132918c9902c
14155bc8910c
15b2ac2a56a
hex6ac121788

28656670600 has 144 divisors (see below), whose sum is σ = 71280594000. Its totient is φ = 10707607680.

The previous prime is 28656670589. The next prime is 28656670621. The reversal of 28656670600 is 607665682.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4546251 + ... + 4552549.

It is an arithmetic number, because the mean of its divisors is an integer number (495004125).

Almost surely, 228656670600 is an apocalyptic number.

28656670600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28656670600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35640297000).

28656670600 is an abundant number, since it is smaller than the sum of its proper divisors (42623923400).

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

28656670600 is a wasteful number, since it uses less digits than its factorization.

28656670600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 28656670600 in words is "twenty-eight billion, six hundred fifty-six million, six hundred seventy thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 43 46 50 86 92 100 115 172 184 200 215 230 344 430 460 529 575 860 920 989 1058 1075 1150 1720 1978 2116 2150 2300 2645 3956 4232 4300 4600 4945 5290 6299 7912 8600 9890 10580 12598 13225 19780 21160 22747 24725 25196 26450 31495 39560 45494 49450 50392 52900 62990 90988 98900 105800 113735 125980 144877 157475 181976 197800 227470 251960 270857 289754 314950 454940 541714 568675 579508 629900 724385 909880 1083428 1137350 1159016 1259800 1354285 1448770 2166856 2274700 2708570 2897540 3332171 3621925 4549400 5417140 5795080 6229711 6664342 6771425 7243850 10834280 12459422 13328684 13542850 14487700 16660855 24918844 26657368 27085700 28975400 31148555 33321710 49837688 54171400 62297110 66643420 83304275 124594220 133286840 143283353 155742775 166608550 249188440 286566706 311485550 333217100 573133412 622971100 666434200 716416765 1146266824 1245942200 1432833530 2865667060 3582083825 5731334120 7164167650 14328335300 28656670600