728112880 has 80 divisors (see below), whose sum is σ = 1850890464. Its totient is φ = 264176640.

The previous prime is 728112857. The next prime is 728112883. The reversal of 728112880 is 88211827.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728112883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665614 + ... + 666706.

Almost surely, 2^728112880 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 728112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925445232).

728112880 is an abundant number, since it is smaller than the sum of its proper divisors (1122777584).

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

728112880 is a wasteful number, since it uses less digits than its factorization.

728112880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 37.

The square root of 728112880 is about 26983.5668509558. The cubic root of 728112880 is about 899.6347818564.

The spelling of 728112880 in words is "seven hundred twenty-eight million, one hundred twelve thousand, eight hundred eighty".