538832 has 40 divisors (see below), whose sum is σ = 1267776. Its totient is φ = 216576.

The previous prime is 538829. The next prime is 538841. The reversal of 538832 is 238835.

It is a super-3 number, since 3×538832³ = 469333326148399104, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 538795 and 538804.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 538832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1763 + ... + 2045.

2⁵³⁸⁸³² 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 538832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633888).

538832 is an abundant number, since it is smaller than the sum of its proper divisors (728944).

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

538832 is a wasteful number, since it uses less digits than its factorization.

538832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 538832 is about 734.0517692915. The cubic root of 538832 is about 81.3737742687.

The spelling of 538832 in words is "five hundred thirty-eight thousand, eight hundred thirty-two".