58130688 has 144 divisors (see below), whose sum is σ = 193084416. Its totient is φ = 15083520.

The previous prime is 58130687. The next prime is 58130689. The reversal of 58130688 is 88603185.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (58130687) and next prime (58130689).

It is not an unprimeable number, because it can be changed into a prime (58130687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58645 + ... + 59627.

It is an arithmetic number, because the mean of its divisors is an integer number (1340864).

Almost surely, 2^58130688 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 58130688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96542208).

58130688 is an abundant number, since it is smaller than the sum of its proper divisors (134953728).

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

58130688 is a wasteful number, since it uses less digits than its factorization.

58130688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 58130688 is about 7624.3483655982. The cubic root of 58130688 is about 387.3781799518.

The spelling of 58130688 in words is "fifty-eight million, one hundred thirty thousand, six hundred eighty-eight".