728380907520 has 672 divisors, whose sum is σ = 2734077872448. Its totient is φ = 165084659712.

The previous prime is 728380907519. The next prime is 728380907531. The reversal of 728380907520 is 25709083827.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824892999 + ... + 824893881.

Almost surely, 2^728380907520 is an apocalyptic number.

728380907520 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 728380907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367038936224).

728380907520 is an abundant number, since it is smaller than the sum of its proper divisors (2005696964928).

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

728380907520 is a wasteful number, since it uses less digits than its factorization.

728380907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 728380907520 in words is "seven hundred twenty-eight billion, three hundred eighty million, nine hundred seven thousand, five hundred twenty".