2323728000 has 640 divisors, whose sum is σ = 9472731840. Its totient is φ = 559872000.

The previous prime is 2323727971. The next prime is 2323728031. The reversal of 2323728000 is 8273232.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14255919 + ... + 14256081.

Almost surely, 2^2323728000 is an apocalyptic number.

2323728000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736365920).

2323728000 is an abundant number, since it is smaller than the sum of its proper divisors (7149003840).

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

2323728000 is a wasteful number, since it uses less digits than its factorization.

2323728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2323728000 is about 48205.0619748590. The cubic root of 2323728000 is about 1324.5298913721.

The spelling of 2323728000 in words is "two billion, three hundred twenty-three million, seven hundred twenty-eight thousand".