58728675600 has 405 divisors, whose sum is σ = 237490668207. Its totient is φ = 13400432640.

The previous prime is 58728675563. The next prime is 58728675619. The reversal of 58728675600 is 657682785.

The square root of 58728675600 is 242340.

It is a perfect power (a square), and thus also a powerful number.

58728675600 is a `hidden beast` number, since 5 + 8 + 7 + 28 + 6 + 7 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16582227984 + 42146447616 = 128772^2 + 205296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101782512 + ... + 101783088.

Almost surely, 2^58728675600 is an apocalyptic number.

58728675600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58728675600 is the 242340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58728675600

58728675600 is an abundant number, since it is smaller than the sum of its proper divisors (178761992607).

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

58728675600 is a wasteful number, since it uses less digits than its factorization.

58728675600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 58728675600 in words is "fifty-eight billion, seven hundred twenty-eight million, six hundred seventy-five thousand, six hundred".