728791664 has 40 divisors (see below), whose sum is σ = 1526546640. Its totient is φ = 335881728.

The previous prime is 728791643. The next prime is 728791667. The reversal of 728791664 is 466197827.

728791664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×728791664² = 1062274579031777792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728791667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21149 + ... + 43644.

It is an arithmetic number, because the mean of its divisors is an integer number (38163666).

Almost surely, 2^728791664 is an apocalyptic number.

728791664 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

728791664 is an abundant number, since it is smaller than the sum of its proper divisors (797754976).

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

728791664 is a wasteful number, since it uses less digits than its factorization.

728791664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64857 (or 64851 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 50.

The square root of 728791664 is about 26996.1416502433. The cubic root of 728791664 is about 899.9142568521.

The spelling of 728791664 in words is "seven hundred twenty-eight million, seven hundred ninety-one thousand, six hundred sixty-four".