728328720 has 160 divisors (see below), whose sum is σ = 2650330368. Its totient is φ = 161961984.

The previous prime is 728328709. The next prime is 728328743. The reversal of 728328720 is 27823827.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56302 + ... + 68018.

Almost surely, 2^728328720 is an apocalyptic number.

728328720 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 728328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325165184).

728328720 is an abundant number, since it is smaller than the sum of its proper divisors (1922001648).

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

728328720 is a wasteful number, since it uses less digits than its factorization.

728328720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11777 (or 11771 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 728328720 is about 26987.5660258572. The cubic root of 728328720 is about 899.7236682515.

The spelling of 728328720 in words is "seven hundred twenty-eight million, three hundred twenty-eight thousand, seven hundred twenty".