58442832 has 120 divisors (see below), whose sum is σ = 192098816. Its totient is φ = 16236288.

The previous prime is 58442789. The next prime is 58442833. The reversal of 58442832 is 23824485.

58442832 is a `hidden beast` number, since 584 + 42 + 8 + 32 = 666.

58442832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58442832² = 6831129224360448, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58442833) 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, 36513 + ... + 38079.

Almost surely, 2^58442832 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 58442832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96049408).

58442832 is an abundant number, since it is smaller than the sum of its proper divisors (133655984).

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

58442832 is a wasteful number, since it uses less digits than its factorization.

58442832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1616 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 58442832 is about 7644.7911678476. The cubic root of 58442832 is about 388.0703099989.

The spelling of 58442832 in words is "fifty-eight million, four hundred forty-two thousand, eight hundred thirty-two".