58275406728 has 384 divisors, whose sum is σ = 209227898880. Its totient is φ = 14203537920.

The previous prime is 58275406697. The next prime is 58275406729. The reversal of 58275406728 is 82760457285.

58275406728 is a `hidden beast` number, since 5 + 8 + 27 + 540 + 6 + 72 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (58275406729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6753825 + ... + 6762447.

It is an arithmetic number, because the mean of its divisors is an integer number (544864320).

Almost surely, 2^58275406728 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 58275406728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104613949440).

58275406728 is an abundant number, since it is smaller than the sum of its proper divisors (150952492152).

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

58275406728 is a wasteful number, since it uses less digits than its factorization.

58275406728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8729 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 58275406728 in words is "fifty-eight billion, two hundred seventy-five million, four hundred six thousand, seven hundred twenty-eight".