58288960 has 56 divisors (see below), whose sum is σ = 146121120. Its totient is φ = 22086144.

The previous prime is 58288957. The next prime is 58288987. The reversal of 58288960 is 6988285.

It is a happy number.

58288960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58288960.

It is a congruent number.

It is an unprimeable number.

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, 1287 + ... + 10873.

Almost surely, 2^58288960 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 58288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73060560).

58288960 is an abundant number, since it is smaller than the sum of its proper divisors (87832160).

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

58288960 is a wasteful number, since it uses less digits than its factorization.

58288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The square root of 58288960 is about 7634.7206890626. The cubic root of 58288960 is about 387.7294319419.

The spelling of 58288960 in words is "fifty-eight million, two hundred eighty-eight thousand, nine hundred sixty".