728792064 has 528 divisors, whose sum is σ = 2861214720. Its totient is φ = 172523520.

The previous prime is 728792059. The next prime is 728792081. The reversal of 728792064 is 460297827.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×728792064² = 1062275745098760192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9225177 + ... + 9225255.

Almost surely, 2^728792064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430607360).

728792064 is an abundant number, since it is smaller than the sum of its proper divisors (2132422656).

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

728792064 is a wasteful number, since it uses less digits than its factorization.

728792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 728792064 is about 26996.1490587084. The cubic root of 728792064 is about 899.9144214925.

The spelling of 728792064 in words is "seven hundred twenty-eight million, seven hundred ninety-two thousand, sixty-four".