58228832640 has 256 divisors, whose sum is σ = 209011415040. Its totient is φ = 13660569600.

The previous prime is 58228832567. The next prime is 58228832687. The reversal of 58228832640 is 4623882285.

58228832640 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58228832640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610252 + ... + 699188.

It is an arithmetic number, because the mean of its divisors is an integer number (816450840).

Almost surely, 2^58228832640 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 58228832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104505707520).

58228832640 is an abundant number, since it is smaller than the sum of its proper divisors (150782582400).

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

58228832640 is a wasteful number, since it uses less digits than its factorization.

58228832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89001 (or 88989 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 58228832640 in words is "fifty-eight billion, two hundred twenty-eight million, eight hundred thirty-two thousand, six hundred forty".