58013280 has 192 divisors, whose sum is σ = 218877120. Its totient is φ = 14266368.

The previous prime is 58013261. The next prime is 58013281. The reversal of 58013280 is 8231085.

It is a happy number.

58013280 is a `hidden beast` number, since 580 + 1 + 3 + 2 + 80 = 666.

58013280 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (58013281) 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 31 ways as a sum of consecutive naturals, for example, 55644 + ... + 56676.

It is an arithmetic number, because the mean of its divisors is an integer number (1139985).

Almost surely, 2^58013280 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 58013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109438560).

58013280 is an abundant number, since it is smaller than the sum of its proper divisors (160863840).

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

58013280 is a wasteful number, since it uses less digits than its factorization.

58013280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 58013280 is about 7616.6449306765. The cubic root of 58013280 is about 387.1172050507.

The spelling of 58013280 in words is "fifty-eight million, thirteen thousand, two hundred eighty".