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28957993008 = 2437349246947
BaseRepresentation
bin11010111110000001…
…111110100000110000
32202202010120110111120
4122332001332200300
5433301221234013
621145250142240
72043414610410
oct327601764060
982663513446
1028957993008
111131003982a
125741b81980
13296653aa09
141589cc4640
15b473eb123
hex6be07e830

28957993008 has 80 divisors (see below), whose sum is σ = 85740345600. Its totient is φ = 8249971968.

The previous prime is 28957992961. The next prime is 28957993013. The reversal of 28957993008 is 80039975982.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6210 + ... + 240737.

It is an arithmetic number, because the mean of its divisors is an integer number (1071754320).

Almost surely, 228957993008 is an apocalyptic number.

28957993008 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 28957993008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42870172800).

28957993008 is an abundant number, since it is smaller than the sum of its proper divisors (56782352592).

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

28957993008 is a wasteful number, since it uses less digits than its factorization.

28957993008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247314 (or 247308 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 28957993008 in words is "twenty-eight billion, nine hundred fifty-seven million, nine hundred ninety-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 349 698 1047 1396 2094 2443 2792 4188 4886 5584 7329 8376 9772 14658 16752 19544 29316 39088 58632 117264 246947 493894 740841 987788 1481682 1728629 1975576 2963364 3457258 3951152 5185887 5926728 6914516 10371774 11853456 13829032 20743548 27658064 41487096 82974192 86184503 172369006 258553509 344738012 517107018 603291521 689476024 1034214036 1206583042 1378952048 1809874563 2068428072 2413166084 3619749126 4136856144 4826332168 7239498252 9652664336 14478996504 28957993008