728624332800 has 1632 divisors, whose sum is σ = 3312971567360. Its totient is φ = 152882380800.

The previous prime is 728624332783. The next prime is 728624332829. The reversal of 728624332800 is 8233426827.

728624332800 is a `hidden beast` number, since 7 + 2 + 86 + 243 + 328 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 4025548710 + ... + 4025548890.

Almost surely, 2^728624332800 is an apocalyptic number.

728624332800 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 728624332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656485783680).

728624332800 is an abundant number, since it is smaller than the sum of its proper divisors (2584347234560).

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

728624332800 is a wasteful number, since it uses less digits than its factorization.

728624332800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 728624332800 in words is "seven hundred twenty-eight billion, six hundred twenty-four million, three hundred thirty-two thousand, eight hundred".