728807904 has 144 divisors (see below), whose sum is σ = 2270661120. Its totient is φ = 219905280.

The previous prime is 728807881. The next prime is 728807921. The reversal of 728807904 is 409708827.

728807904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 728807904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200369 + ... + 1200975.

It is an arithmetic number, because the mean of its divisors is an integer number (15768480).

Almost surely, 2^728807904 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 728807904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135330560).

728807904 is an abundant number, since it is smaller than the sum of its proper divisors (1541853216).

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

728807904 is a wasteful number, since it uses less digits than its factorization.

728807904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 728807904 is about 26996.4424322910. The cubic root of 728807904 is about 899.9209412036.

The spelling of 728807904 in words is "seven hundred twenty-eight million, eight hundred seven thousand, nine hundred four".