728897184 has 96 divisors (see below), whose sum is σ = 2150064000. Its totient is φ = 240210432.

The previous prime is 728897173. The next prime is 728897201. The reversal of 728897184 is 481798827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×728897184² = 1062582209686259712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 728897184.

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 15 ways as a sum of consecutive naturals, for example, 72157 + ... + 81635.

It is an arithmetic number, because the mean of its divisors is an integer number (22396500).

Almost surely, 2^728897184 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 728897184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075032000).

728897184 is an abundant number, since it is smaller than the sum of its proper divisors (1421166816).

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

728897184 is a wasteful number, since it uses less digits than its factorization.

728897184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9587 (or 9573 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The square root of 728897184 is about 26998.0959328616. The cubic root of 728897184 is about 899.9576868996.

The spelling of 728897184 in words is "seven hundred twenty-eight million, eight hundred ninety-seven thousand, one hundred eighty-four".