57978528 has 48 divisors (see below), whose sum is σ = 153117216. Its totient is φ = 19208960.

The previous prime is 57978509. The next prime is 57978539. The reversal of 57978528 is 82587975.

57978528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14863 + ... + 18353.

It is an arithmetic number, because the mean of its divisors is an integer number (3189942).

Almost surely, 2^57978528 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 57978528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76558608).

57978528 is an abundant number, since it is smaller than the sum of its proper divisors (95138688).

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

57978528 is a wasteful number, since it uses less digits than its factorization.

57978528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3669 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 51.

The square root of 57978528 is about 7614.3632695059. The cubic root of 57978528 is about 387.0398906593.

The spelling of 57978528 in words is "fifty-seven million, nine hundred seventy-eight thousand, five hundred twenty-eight".