728056560 has 160 divisors (see below), whose sum is σ = 2813962752. Its totient is φ = 151280640.

The previous prime is 728056541. The next prime is 728056577. The reversal of 728056560 is 65650827.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219 + ... + 38178.

Almost surely, 2^728056560 is an apocalyptic number.

728056560 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 728056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406981376).

728056560 is an abundant number, since it is smaller than the sum of its proper divisors (2085906192).

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

728056560 is a wasteful number, since it uses less digits than its factorization.

728056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39431 (or 39425 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 728056560 is about 26982.5232326408. The cubic root of 728056560 is about 899.6115854818.

The spelling of 728056560 in words is "seven hundred twenty-eight million, fifty-six thousand, five hundred sixty".