58193312 has 48 divisors (see below), whose sum is σ = 126608832. Its totient is φ = 26188800.

The previous prime is 58193299. The next prime is 58193327. The reversal of 58193312 is 21339185.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10187 + ... + 14837.

It is an arithmetic number, because the mean of its divisors is an integer number (2637684).

Almost surely, 2^58193312 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 58193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63304416).

58193312 is an abundant number, since it is smaller than the sum of its proper divisors (68415520).

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

58193312 is a wasteful number, since it uses less digits than its factorization.

58193312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701 (or 4693 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 58193312 is about 7628.4541028966. The cubic root of 58193312 is about 387.5172371104.

The spelling of 58193312 in words is "fifty-eight million, one hundred ninety-three thousand, three hundred twelve".