2328928000 has 288 divisors, whose sum is σ = 6833893248. Its totient is φ = 774144000.

The previous prime is 2328927943. The next prime is 2328928001. The reversal of 2328928000 is 8298232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328928001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8287860 + ... + 8288140.

It is an arithmetic number, because the mean of its divisors is an integer number (23728796).

Almost surely, 2^2328928000 is an apocalyptic number.

2328928000 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 2328928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416946624).

2328928000 is an abundant number, since it is smaller than the sum of its proper divisors (4504965248).

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

2328928000 is an equidigital number, since it uses as much as digits as its factorization.

2328928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2328928000 is about 48258.9680784826. The cubic root of 2328928000 is about 1325.5171589860.

The spelling of 2328928000 in words is "two billion, three hundred twenty-eight million, nine hundred twenty-eight thousand".