728576623320 has 1152 divisors, whose sum is σ = 2892614768640. Its totient is φ = 146127421440.

The previous prime is 728576623319. The next prime is 728576623343. The reversal of 728576623320 is 23326675827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2063956264 + ... + 2063956616.

It is an arithmetic number, because the mean of its divisors is an integer number (2510950320).

Almost surely, 2^728576623320 is an apocalyptic number.

728576623320 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 728576623320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446307384320).

728576623320 is an abundant number, since it is smaller than the sum of its proper divisors (2164038145320).

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

728576623320 is a wasteful number, since it uses less digits than its factorization.

728576623320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 51.

The spelling of 728576623320 in words is "seven hundred twenty-eight billion, five hundred seventy-six million, six hundred twenty-three thousand, three hundred twenty".