57933144 has 96 divisors (see below), whose sum is σ = 172383120. Its totient is φ = 18164736.

The previous prime is 57933143. The next prime is 57933163. The reversal of 57933144 is 44133975.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 57933099 and 57933108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57933143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32172 + ... + 33924.

Almost surely, 2^57933144 is an apocalyptic number.

57933144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86191560).

57933144 is an abundant number, since it is smaller than the sum of its proper divisors (114449976).

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

57933144 is a wasteful number, since it uses less digits than its factorization.

57933144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1775 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 57933144 is about 7611.3825288183. The cubic root of 57933144 is about 386.9388762307.

The spelling of 57933144 in words is "fifty-seven million, nine hundred thirty-three thousand, one hundred forty-four".