58432 has 28 divisors (see below), whose sum is σ = 128016. Its totient is φ = 26240.

The previous prime is 58427. The next prime is 58439. The reversal of 58432 is 23485.

58432 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (960) is a multiple of the sum of its prime divisors (96).

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (58439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663 + ... + 745.

It is an arithmetic number, because the mean of its divisors is an integer number (4572).

2⁵⁸⁴³² 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 58432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64008).

58432 is an abundant number, since it is smaller than the sum of its proper divisors (69584).

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

58432 is a wasteful number, since it uses less digits than its factorization.

58432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 58432 is about 241.7271188758. The cubic root of 58432 is about 38.8046333079.

It can be divided in two parts, 584 and 32, that added together give a palindrome (616).

The spelling of 58432 in words is "fifty-eight thousand, four hundred thirty-two".