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28477343328 = 2537222432699
BaseRepresentation
bin11010100001011000…
…011100011001100000
32201111122010221002120
4122201120130121200
5431310144441303
621025440144240
72025460265400
oct324130343140
981448127076
1028477343328
1111093799595
125629008080
1328baa9c415
141542128800
15b1a106553
hex6a161c660

28477343328 has 144 divisors (see below), whose sum is σ = 87028603200. Its totient is φ = 8129743104.

The previous prime is 28477343291. The next prime is 28477343339. The reversal of 28477343328 is 82334377482.

It is a happy number.

It is a super-2 number, since 2×284773433282 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10549723 + ... + 10552421.

It is an arithmetic number, because the mean of its divisors is an integer number (604365300).

Almost surely, 228477343328 is an apocalyptic number.

28477343328 is a gapful number since it is divisible by the number (28) 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 28477343328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43514301600).

28477343328 is an abundant number, since it is smaller than the sum of its proper divisors (58551259872).

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

28477343328 is a wasteful number, since it uses less digits than its factorization.

28477343328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4954 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 51.

The spelling of 28477343328 in words is "twenty-eight billion, four hundred seventy-seven million, three hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2243 2352 2699 4486 4704 5398 6729 8097 8972 10796 13458 15701 16194 17944 18893 21592 26916 31402 32388 35888 37786 43184 47103 53832 56679 62804 64776 71776 75572 86368 94206 107664 109907 113358 125608 129552 132251 151144 188412 215328 219814 226716 251216 259104 264502 302288 329721 376824 396753 439628 453432 502432 529004 604576 659442 753648 793506 879256 906864 1058008 1318884 1507296 1587012 1758512 1813728 2116016 2637768 3174024 3517024 4232032 5275536 6053857 6348048 10551072 12107714 12696096 18161571 24215428 36323142 42376999 48430856 72646284 84753998 96861712 127130997 145292568 169507996 193723424 254261994 290585136 296638993 339015992 508523988 581170272 593277986 678031984 889916979 1017047976 1186555972 1356063968 1779833958 2034095952 2373111944 3559667916 4068191904 4746223888 7119335832 9492447776 14238671664 28477343328