57982904928 has 432 divisors, whose sum is σ = 186931390464. Its totient is φ = 17020523520.

The previous prime is 57982904923. The next prime is 57982904933. The reversal of 57982904928 is 82940928975.

It is a happy number.

57982904928 is a `hidden beast` number, since 57 + 9 + 8 + 2 + 90 + 492 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (57982904923) and next prime (57982904933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57982904923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 125232825 + ... + 125233287.

It is an arithmetic number, because the mean of its divisors is an integer number (432711552).

Almost surely, 2^57982904928 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 57982904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93465695232).

57982904928 is an abundant number, since it is smaller than the sum of its proper divisors (128948485536).

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

57982904928 is a wasteful number, since it uses less digits than its factorization.

57982904928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 57982904928 in words is "fifty-seven billion, nine hundred eighty-two million, nine hundred four thousand, nine hundred twenty-eight".