728717280 has 192 divisors, whose sum is σ = 2416780800. Its totient is φ = 184211456.

The previous prime is 728717263. The next prime is 728717321. The reversal of 728717280 is 82717827.

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, 1644739 + ... + 1645181.

It is an arithmetic number, because the mean of its divisors is an integer number (12587400).

Almost surely, 2^728717280 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 728717280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208390400).

728717280 is an abundant number, since it is smaller than the sum of its proper divisors (1688063520).

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

728717280 is a wasteful number, since it uses less digits than its factorization.

728717280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 87808, while the sum is 42.

The square root of 728717280 is about 26994.7639367341. The cubic root of 728717280 is about 899.8836392774.

The spelling of 728717280 in words is "seven hundred twenty-eight million, seven hundred seventeen thousand, two hundred eighty".