57952128 has 192 divisors, whose sum is σ = 179193600. Its totient is φ = 16533504.

The previous prime is 57952079. The next prime is 57952129. The reversal of 57952128 is 82125975.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (50400) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57952129) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1233001 + ... + 1233047.

It is an arithmetic number, because the mean of its divisors is an integer number (933300).

Almost surely, 2^57952128 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 57952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89596800).

57952128 is an abundant number, since it is smaller than the sum of its proper divisors (121241472).

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

57952128 is a wasteful number, since it uses less digits than its factorization.

57952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its digits is 50400, while the sum is 39.

The square root of 57952128 is about 7612.6295062876. The cubic root of 57952128 is about 386.9811366992.

The spelling of 57952128 in words is "fifty-seven million, nine hundred fifty-two thousand, one hundred twenty-eight".