57983472 has 80 divisors (see below), whose sum is σ = 168640000. Its totient is φ = 19071936.

The previous prime is 57983467. The next prime is 57983491. The reversal of 57983472 is 27438975.

57983472 is a `hidden beast` number, since 579 + 8 + 3 + 4 + 72 = 666.

57983472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 33279 + ... + 34977.

It is an arithmetic number, because the mean of its divisors is an integer number (2108000).

Almost surely, 2^57983472 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 57983472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84320000).

57983472 is an abundant number, since it is smaller than the sum of its proper divisors (110656528).

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

57983472 is a wasteful number, since it uses less digits than its factorization.

57983472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1783 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 57983472 is about 7614.6879121866. The cubic root of 57983472 is about 387.0508916908.

The spelling of 57983472 in words is "fifty-seven million, nine hundred eighty-three thousand, four hundred seventy-two".