728715960000 has 1120 divisors, whose sum is σ = 3135388354560. Its totient is φ = 162432000000.

The previous prime is 728715959987. The next prime is 728715960047. The reversal of 728715960000 is 69517827.

728715960000 is a `hidden beast` number, since 7 + 28 + 7 + 15 + 9 + 600 + 0 + 0 = 666.

728715960000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 309958825 + ... + 309961175.

It is an arithmetic number, because the mean of its divisors is an integer number (2799453888).

Almost surely, 2^728715960000 is an apocalyptic number.

728715960000 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 728715960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567694177280).

728715960000 is an abundant number, since it is smaller than the sum of its proper divisors (2406672394560).

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

728715960000 is a wasteful number, since it uses less digits than its factorization.

728715960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 728715960000 in words is "seven hundred twenty-eight billion, seven hundred fifteen million, nine hundred sixty thousand".