58132368 has 120 divisors (see below), whose sum is σ = 188101056. Its totient is φ = 16416000.

The previous prime is 58132307. The next prime is 58132369. The reversal of 58132368 is 86323185.

58132368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (58132369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101523 + ... + 102093.

Almost surely, 2^58132368 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 58132368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94050528).

58132368 is an abundant number, since it is smaller than the sum of its proper divisors (129968688).

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

58132368 is a wasteful number, since it uses less digits than its factorization.

58132368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 58132368 is about 7624.4585381521. The cubic root of 58132368 is about 387.3819117103.

The spelling of 58132368 in words is "fifty-eight million, one hundred thirty-two thousand, three hundred sixty-eight".