57291432 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 16473600.

The previous prime is 57291427. The next prime is 57291457. The reversal of 57291432 is 23419275.

It is a super-2 number, since 2×57291432² = 6564616361221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 57291393 and 57291402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725169 + ... + 725247.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^57291432 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 57291432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

57291432 is an abundant number, since it is smaller than the sum of its proper divisors (107214168).

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

57291432 is a wasteful number, since it uses less digits than its factorization.

57291432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 57291432 is about 7569.1103836580. The cubic root of 57291432 is about 385.5048910878.

The spelling of 57291432 in words is "fifty-seven million, two hundred ninety-one thousand, four hundred thirty-two".