58342032 has 200 divisors, whose sum is σ = 198052800. Its totient is φ = 16236288.

The previous prime is 58342019. The next prime is 58342069. The reversal of 58342032 is 23024385.

58342032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 58341987 and 58342005.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 535194 + ... + 535302.

It is an arithmetic number, because the mean of its divisors is an integer number (990264).

Almost surely, 2^58342032 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 58342032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99026400).

58342032 is an abundant number, since it is smaller than the sum of its proper divisors (139710768).

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

58342032 is a wasteful number, since it uses less digits than its factorization.

58342032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 58342032 is about 7638.1955984382. The cubic root of 58342032 is about 387.8470719106.

The spelling of 58342032 in words is "fifty-eight million, three hundred forty-two thousand, thirty-two".