58056768 has 378 divisors, whose sum is σ = 225292158. Its totient is φ = 14192640.

The previous prime is 58056749. The next prime is 58056781. The reversal of 58056768 is 86765085.

58056768 is a `hidden beast` number, since 5 + 80 + 567 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 3415104 = 7392^2 + 1848^2 .

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 3415096 + ... + 3415112.

It is an arithmetic number, because the mean of its divisors is an integer number (596011).

Almost surely, 2^58056768 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 58056768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112646079).

58056768 is an abundant number, since it is smaller than the sum of its proper divisors (167235390).

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

58056768 is a wasteful number, since it uses less digits than its factorization.

58056768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 58056768 is about 7619.4991961414. The cubic root of 58056768 is about 387.2139113459.

The spelling of 58056768 in words is "fifty-eight million, fifty-six thousand, seven hundred sixty-eight".