728728000 has 504 divisors, whose sum is σ = 2479907664. Its totient is φ = 209664000.

The previous prime is 728727991. The next prime is 728728003. The reversal of 728728000 is 827827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728728003) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56055994 + ... + 56056006.

Almost surely, 2^728728000 is an apocalyptic number.

728728000 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 728728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239953832).

728728000 is an abundant number, since it is smaller than the sum of its proper divisors (1751179664).

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

728728000 is a wasteful number, since it uses less digits than its factorization.

728728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 728728000 is about 26994.9624930282. The cubic root of 728728000 is about 899.8880519193. Note that the first 3 decimals are identical.

The spelling of 728728000 in words is "seven hundred twenty-eight million, seven hundred twenty-eight thousand".