58408428960 has 576 divisors, whose sum is σ = 241381969920. Its totient is φ = 12563527680.

The previous prime is 58408428917. The next prime is 58408428961. The reversal of 58408428960 is 6982480485.

58408428960 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 (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58408428897 and 58408428906.

It is not an unprimeable number, because it can be changed into a prime (58408428961) 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, 31216825 + ... + 31218695.

It is an arithmetic number, because the mean of its divisors is an integer number (419065920).

Almost surely, 2^58408428960 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 58408428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120690984960).

58408428960 is an abundant number, since it is smaller than the sum of its proper divisors (182973540960).

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

58408428960 is a wasteful number, since it uses less digits than its factorization.

58408428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 58408428960 in words is "fifty-eight billion, four hundred eight million, four hundred twenty-eight thousand, nine hundred sixty".