57983328 has 144 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 16773120.

The previous prime is 57983327. The next prime is 57983333. The reversal of 57983328 is 82338975.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57983327) 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, 63193 + ... + 64103.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^57983328 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 57983328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

57983328 is an abundant number, since it is smaller than the sum of its proper divisors (130242528).

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

57983328 is a wasteful number, since it uses less digits than its factorization.

57983328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 946 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 57983328 is about 7614.6784567702. The cubic root of 57983328 is about 387.0505712813.

It can be divided in two parts, 57983 and 328, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 57983328 in words is "fifty-seven million, nine hundred eighty-three thousand, three hundred twenty-eight".