57752128 has 56 divisors (see below), whose sum is σ = 138696192. Its totient is φ = 23291904.

The previous prime is 57752113. The next prime is 57752129. The reversal of 57752128 is 82125775.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (57752129) 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 7 ways as a sum of consecutive naturals, for example, 3825 + ... + 11407.

Almost surely, 2^57752128 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 57752128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69348096).

57752128 is an abundant number, since it is smaller than the sum of its proper divisors (80944064).

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

57752128 is a wasteful number, since it uses less digits than its factorization.

57752128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7619 (or 7609 counting only the distinct ones).

The product of its digits is 39200, while the sum is 37.

The square root of 57752128 is about 7599.4820876162. The cubic root of 57752128 is about 386.5354502577.

The spelling of 57752128 in words is "fifty-seven million, seven hundred fifty-two thousand, one hundred twenty-eight".