58842432 has 168 divisors, whose sum is σ = 189719712. Its totient is φ = 17280000.

The previous prime is 58842391. The next prime is 58842437. The reversal of 58842432 is 23424885.

58842432 is a `hidden beast` number, since 588 + 42 + 4 + 32 = 666.

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 (58842437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234307 + ... + 234557.

It is an arithmetic number, because the mean of its divisors is an integer number (1129284).

Almost surely, 2^58842432 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 58842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94859856).

58842432 is an abundant number, since it is smaller than the sum of its proper divisors (130877280).

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

58842432 is a wasteful number, since it uses less digits than its factorization.

58842432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

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

The square root of 58842432 is about 7670.8820874786. The cubic root of 58842432 is about 388.9527723563.

The spelling of 58842432 in words is "fifty-eight million, eight hundred forty-two thousand, four hundred thirty-two".