58248864 has 72 divisors (see below), whose sum is σ = 169719732. Its totient is φ = 18938880.

The previous prime is 58248863. The next prime is 58248893. The reversal of 58248864 is 46884285.

58248864 is a `hidden beast` number, since 582 + 4 + 8 + 8 + 64 = 666.

58248864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 50296464 + 7952400 = 7092^2 + 2820^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (58248863) 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 11 ways as a sum of consecutive naturals, for example, 9342 + ... + 14274.

Almost surely, 2^58248864 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 58248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84859866).

58248864 is an abundant number, since it is smaller than the sum of its proper divisors (111470868).

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

58248864 is a wasteful number, since it uses less digits than its factorization.

58248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4979 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 58248864 is about 7632.0943390396. The cubic root of 58248864 is about 387.6405073532.

The spelling of 58248864 in words is "fifty-eight million, two hundred forty-eight thousand, eight hundred sixty-four".