728517120 has 160 divisors (see below), whose sum is σ = 2410024320. Its totient is φ = 187514880.

The previous prime is 728517113. The next prime is 728517187. The reversal of 728517120 is 21715827.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221085 + ... + 224355.

It is an arithmetic number, because the mean of its divisors is an integer number (15062652).

Almost surely, 2^728517120 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 728517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205012160).

728517120 is an abundant number, since it is smaller than the sum of its proper divisors (1681507200).

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

728517120 is a wasteful number, since it uses less digits than its factorization.

728517120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 728517120 is about 26991.0562964846. The cubic root of 728517120 is about 899.8012400588.

The spelling of 728517120 in words is "seven hundred twenty-eight million, five hundred seventeen thousand, one hundred twenty".