57433824 has 144 divisors (see below), whose sum is σ = 192890880. Its totient is φ = 15863040.

The previous prime is 57433823. The next prime is 57433861. The reversal of 57433824 is 42833475.

It is a happy number.

57433824 is a `hidden beast` number, since 574 + 3 + 3 + 82 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57433823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62037 + ... + 62955.

It is an arithmetic number, because the mean of its divisors is an integer number (1339520).

Almost surely, 2^57433824 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 57433824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96445440).

57433824 is an abundant number, since it is smaller than the sum of its proper divisors (135457056).

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

57433824 is a wasteful number, since it uses less digits than its factorization.

57433824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 962 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 57433824 is about 7578.5106716294. The cubic root of 57433824 is about 385.8240045305.

The spelling of 57433824 in words is "fifty-seven million, four hundred thirty-three thousand, eight hundred twenty-four".