73028928000 has 640 divisors, whose sum is σ = 281977952256. Its totient is φ = 16422912000.

The previous prime is 73028927999. The next prime is 73028928043. The reversal of 73028928000 is 82982037.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 73028928000.

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, 90047595 + ... + 90048405.

Almost surely, 2^73028928000 is an apocalyptic number.

73028928000 is a gapful number since it is divisible by the number (70) 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 73028928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140988976128).

73028928000 is an abundant number, since it is smaller than the sum of its proper divisors (208949024256).

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

73028928000 is an equidigital number, since it uses as much as digits as its factorization.

73028928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 73028928000 in words is "seventy-three billion, twenty-eight million, nine hundred twenty-eight thousand".