728320560 has 160 divisors (see below), whose sum is σ = 2486626560. Its totient is φ = 174873600.

The previous prime is 728320517. The next prime is 728320573. The reversal of 728320560 is 65023827.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 286495 + ... + 289025.

It is an arithmetic number, because the mean of its divisors is an integer number (15541416).

Almost surely, 2^728320560 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 728320560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243313280).

728320560 is an abundant number, since it is smaller than the sum of its proper divisors (1758306000).

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

728320560 is a wasteful number, since it uses less digits than its factorization.

728320560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 728320560 is about 26987.4148447012. The cubic root of 728320560 is about 899.7203081513.

The spelling of 728320560 in words is "seven hundred twenty-eight million, three hundred twenty thousand, five hundred sixty".