58412928000 has 704 divisors, whose sum is σ = 229551169536. Its totient is φ = 12902400000.

The previous prime is 58412927999. The next prime is 58412928019. The reversal of 58412928000 is 82921485.

It is a self number, because there is not a number n which added to its sum of digits gives 58412928000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83327650 + ... + 83328350.

Almost surely, 2^58412928000 is an apocalyptic number.

58412928000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58412928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114775584768).

58412928000 is an abundant number, since it is smaller than the sum of its proper divisors (171138241536).

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

58412928000 is a wasteful number, since it uses less digits than its factorization.

58412928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 749 counting only the distinct ones).

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

The spelling of 58412928000 in words is "fifty-eight billion, four hundred twelve million, nine hundred twenty-eight thousand".