57829632 has 144 divisors (see below), whose sum is σ = 182095872. Its totient is φ = 15943680.

The previous prime is 57829621. The next prime is 57829633. The reversal of 57829632 is 23692875.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57829633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166483 + ... + 166829.

Almost surely, 2^57829632 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 57829632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91047936).

57829632 is an abundant number, since it is smaller than the sum of its proper divisors (124266240).

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

57829632 is a wasteful number, since it uses less digits than its factorization.

57829632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 390 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 57829632 is about 7604.5796728024. The cubic root of 57829632 is about 386.7082845942.

The spelling of 57829632 in words is "fifty-seven million, eight hundred twenty-nine thousand, six hundred thirty-two".