57768384 has 28 divisors (see below), whose sum is σ = 152846024. Its totient is φ = 19256064.

The previous prime is 57768383. The next prime is 57768391. The reversal of 57768384 is 48386775.

57768384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57768383) 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 3 ways as a sum of consecutive naturals, for example, 150247 + ... + 150630.

Almost surely, 2^57768384 is an apocalyptic number.

It is an amenable number.

57768384 is an abundant number, since it is smaller than the sum of its proper divisors (95077640).

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

57768384 is a wasteful number, since it uses less digits than its factorization.

57768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300892 (or 300882 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 57768384 is about 7600.5515589331. The cubic root of 57768384 is about 386.5717140344.

The spelling of 57768384 in words is "fifty-seven million, seven hundred sixty-eight thousand, three hundred eighty-four".