57433632 has 48 divisors (see below), whose sum is σ = 152691840. Its totient is φ = 18899712.

The previous prime is 57433627. The next prime is 57433639. The reversal of 57433632 is 23633475.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×57433632² = 6597244169422848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57433593 and 57433602.

It is not an unprimeable number, because it can be changed into a prime (57433639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3798 + ... + 11370.

It is an arithmetic number, because the mean of its divisors is an integer number (3181080).

Almost surely, 2^57433632 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 57433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76345920).

57433632 is an abundant number, since it is smaller than the sum of its proper divisors (95258208).

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

57433632 is a wasteful number, since it uses less digits than its factorization.

57433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665 (or 7657 counting only the distinct ones).

The product of its digits is 45360, while the sum is 33.

The square root of 57433632 is about 7578.4980042222. The cubic root of 57433632 is about 385.8235745963.

The spelling of 57433632 in words is "fifty-seven million, four hundred thirty-three thousand, six hundred thirty-two".