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28857403008 = 2733722331239
BaseRepresentation
bin11010111000000010…
…010000011010000000
32202111010021221222000
4122320002100122000
5433044443344013
621131254144000
72041053610200
oct327002203200
982433257860
1028857403008
1111269284aa5
125714352000
13294b74b7c5
14157a7bc400
15b3d67b973
hex6b8090680

28857403008 has 768 divisors, whose sum is σ = 107163648000. Its totient is φ = 7600158720.

The previous prime is 28857402991. The next prime is 28857403021. The reversal of 28857403008 is 80030475882.

It is a super-2 number, since 2×288574030082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120742153 + ... + 120742391.

It is an arithmetic number, because the mean of its divisors is an integer number (139536000).

Almost surely, 228857403008 is an apocalyptic number.

28857403008 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 28857403008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53581824000).

28857403008 is an abundant number, since it is smaller than the sum of its proper divisors (78306244992).

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

28857403008 is a wasteful number, since it uses less digits than its factorization.

28857403008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28857403008 in words is "twenty-eight billion, eight hundred fifty-seven million, four hundred three thousand, eight".