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28972052928 = 26327131633391
BaseRepresentation
bin11010111110110111…
…100111000111000000
32202210010000210002100
4122332313213013000
5433313321143203
621150511350400
72043645246420
oct327667470700
982703023070
1028972052928
1111317a721a5
125746822400
1329694214b0
14158bb04480
15b48776ea3
hex6bede71c0

28972052928 has 336 divisors, whose sum is σ = 102864326656. Its totient is φ = 7591864320.

The previous prime is 28972052899. The next prime is 28972053031. The reversal of 28972052928 is 82925027982.

28972052928 is a `hidden beast` number, since 2 + 8 + 97 + 2 + 0 + 529 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8542113 + ... + 8545503.

Almost surely, 228972052928 is an apocalyptic number.

28972052928 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 28972052928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51432163328).

28972052928 is an abundant number, since it is smaller than the sum of its proper divisors (73892273728).

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

28972052928 is a wasteful number, since it uses less digits than its factorization.

28972052928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 28972052928 in words is "twenty-eight billion, nine hundred seventy-two million, fifty-two thousand, nine hundred twenty-eight".