58427264 has 64 divisors (see below), whose sum is σ = 135333600. Its totient is φ = 24606720.

The previous prime is 58427233. The next prime is 58427267. The reversal of 58427264 is 46272485.

58427264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58427267) 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 7 ways as a sum of consecutive naturals, for example, 54122 + ... + 55190.

Almost surely, 2^58427264 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 58427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67666800).

58427264 is an abundant number, since it is smaller than the sum of its proper divisors (76906336).

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

58427264 is a wasteful number, since it uses less digits than its factorization.

58427264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1139 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 58427264 is about 7643.7728903991. The cubic root of 58427264 is about 388.0358488859.

The spelling of 58427264 in words is "fifty-eight million, four hundred twenty-seven thousand, two hundred sixty-four".