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58928030928 = 243313192692053
BaseRepresentation
bin110110111000011000…
…100110010011010000
312122002210111010122000
4312320120212103100
51431141033442203
643023212114000
74154201666304
oct667030462320
9178083433560
1058928030928
1122a9a378908
12b506a65900
135731642170
142bd036dd04
1517ed5a74a3
hexdb86264d0

58928030928 has 320 divisors, whose sum is σ = 192550176000. Its totient is φ = 17105209344.

The previous prime is 58928030921. The next prime is 58928030939. The reversal of 58928030928 is 82903082985.

58928030928 is a `hidden beast` number, since 58 + 9 + 280 + 309 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58928030921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28702350 + ... + 28704402.

It is an arithmetic number, because the mean of its divisors is an integer number (601719300).

Almost surely, 258928030928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58928030928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96275088000).

58928030928 is an abundant number, since it is smaller than the sum of its proper divisors (133622145072).

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

58928030928 is a wasteful number, since it uses less digits than its factorization.

58928030928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 58928030928 in words is "fifty-eight billion, nine hundred twenty-eight million, thirty thousand, nine hundred twenty-eight".