58828032 has 90 divisors (see below), whose sum is σ = 175476378. Its totient is φ = 19602432.

The previous prime is 58828013. The next prime is 58828087. The reversal of 58828032 is 23082885.

It can be written as a sum of positive squares in only one way, i.e., 34857216 + 23970816 = 5904^2 + 4896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19318 + ... + 22154.

Almost surely, 2^58828032 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 58828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87738189).

58828032 is an abundant number, since it is smaller than the sum of its proper divisors (116648346).

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

58828032 is an equidigital number, since it uses as much as digits as its factorization.

58828032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 58828032 is about 7669.9434156974. The cubic root of 58828032 is about 388.9210414172.

The spelling of 58828032 in words is "fifty-eight million, eight hundred twenty-eight thousand, thirty-two".