58252320 has 144 divisors (see below), whose sum is σ = 227223360. Its totient is φ = 13312512.

The previous prime is 58252303. The next prime is 58252339. The reversal of 58252320 is 2325285.

58252320 is a `hidden beast` number, since 582 + 52 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7191 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (1577940).

Almost surely, 2^58252320 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 58252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113611680).

58252320 is an abundant number, since it is smaller than the sum of its proper divisors (168971040).

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

58252320 is a wasteful number, since it uses less digits than its factorization.

58252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5796 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 58252320 is about 7632.3207479770. The cubic root of 58252320 is about 387.6481736492.

The spelling of 58252320 in words is "fifty-eight million, two hundred fifty-two thousand, three hundred twenty".