58532328 has 64 divisors (see below), whose sum is σ = 164260800. Its totient is φ = 19310400.

The previous prime is 58532321. The next prime is 58532351. The reversal of 58532328 is 82323585.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 58532292 and 58532301.

It is not an unprimeable number, because it can be changed into a prime (58532321) 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, 20475 + ... + 23157.

It is an arithmetic number, because the mean of its divisors is an integer number (2566575).

Almost surely, 2^58532328 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 58532328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82130400).

58532328 is an abundant number, since it is smaller than the sum of its proper divisors (105728472).

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

58532328 is a wasteful number, since it uses less digits than its factorization.

58532328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2789 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 58532328 is about 7650.6423259750. The cubic root of 58532328 is about 388.2682985068.

The spelling of 58532328 in words is "fifty-eight million, five hundred thirty-two thousand, three hundred twenty-eight".