728918784 has 144 divisors (see below), whose sum is σ = 2351744640. Its totient is φ = 220861440.

The previous prime is 728918767. The next prime is 728918791. The reversal of 728918784 is 487819827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 728918784.

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, 71239 + ... + 80825.

It is an arithmetic number, because the mean of its divisors is an integer number (16331560).

Almost surely, 2^728918784 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 728918784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175872320).

728918784 is an abundant number, since it is smaller than the sum of its proper divisors (1622825856).

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

728918784 is a wasteful number, since it uses less digits than its factorization.

728918784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9603 counting only the distinct ones).

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

The square root of 728918784 is about 26998.4959581085. The cubic root of 728918784 is about 899.9665765365.

The spelling of 728918784 in words is "seven hundred twenty-eight million, nine hundred eighteen thousand, seven hundred eighty-four".