9728256000 has 384 divisors, whose sum is σ = 33116428800. Its totient is φ = 2534604800.

The previous prime is 9728255963. The next prime is 9728256023. The reversal of 9728256000 is 6528279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 9728256000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40703881 + ... + 40704119.

It is an arithmetic number, because the mean of its divisors is an integer number (86240700).

Almost surely, 2^9728256000 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 9728256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558214400).

9728256000 is an abundant number, since it is smaller than the sum of its proper divisors (23388172800).

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

9728256000 is a wasteful number, since it uses less digits than its factorization.

9728256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 9728256000 is about 98631.9218103348. The cubic root of 9728256000 is about 2134.7400444389.

The spelling of 9728256000 in words is "nine billion, seven hundred twenty-eight million, two hundred fifty-six thousand".