58032832 has 112 divisors (see below), whose sum is σ = 143633952. Its totient is φ = 22855680.

The previous prime is 58032811. The next prime is 58032833. The reversal of 58032832 is 23823085.

It is a junction number, because it is equal to n+sod(n) for n = 58032794 and 58032803.

It is not an unprimeable number, because it can be changed into a prime (58032833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155398 + ... + 155770.

It is an arithmetic number, because the mean of its divisors is an integer number (1282446).

Almost surely, 2^58032832 is an apocalyptic number.

58032832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58032832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71816976).

58032832 is an abundant number, since it is smaller than the sum of its proper divisors (85601120).

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

58032832 is a wasteful number, since it uses less digits than its factorization.

58032832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 58032832 is about 7617.9283273079. The cubic root of 58032832 is about 387.1606897232.

The spelling of 58032832 in words is "fifty-eight million, thirty-two thousand, eight hundred thirty-two".