728888960 has 64 divisors (see below), whose sum is σ = 1745944200. Its totient is φ = 290979840.

The previous prime is 728888959. The next prime is 728888977. The reversal of 728888960 is 69888827.

728888960 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 526794304 + 202094656 = 22952^2 + 14216^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 728888896 and 728888905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491420 + ... + 492900.

Almost surely, 2^728888960 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 728888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872972100).

728888960 is an abundant number, since it is smaller than the sum of its proper divisors (1017055240).

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

728888960 is a wasteful number, since it uses less digits than its factorization.

728888960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 56.

The square root of 728888960 is about 26997.9436253949. The cubic root of 728888960 is about 899.9543022065.

The spelling of 728888960 in words is "seven hundred twenty-eight million, eight hundred eighty-eight thousand, nine hundred sixty".