728051664 has 80 divisors (see below), whose sum is σ = 1938629888. Its totient is φ = 235270656.

The previous prime is 728051659. The next prime is 728051677. The reversal of 728051664 is 466150827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651234 + ... + 652350.

Almost surely, 2^728051664 is an apocalyptic number.

728051664 is a gapful number since it is divisible by the number (74) 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 728051664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969314944).

728051664 is an abundant number, since it is smaller than the sum of its proper divisors (1210578224).

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

728051664 is a wasteful number, since it uses less digits than its factorization.

728051664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 728051664 is about 26982.4325070962. The cubic root of 728051664 is about 899.6095689223.

The spelling of 728051664 in words is "seven hundred twenty-eight million, fifty-one thousand, six hundred sixty-four".