2328192000 has 528 divisors, whose sum is σ = 8767579392. Its totient is φ = 593510400.

The previous prime is 2328191927. The next prime is 2328192019. The reversal of 2328192000 is 2918232.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49535977 + ... + 49536023.

It is an arithmetic number, because the mean of its divisors is an integer number (16605264).

Almost surely, 2^2328192000 is an apocalyptic number.

2328192000 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 2328192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383789696).

2328192000 is an abundant number, since it is smaller than the sum of its proper divisors (6439387392).

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

2328192000 is a wasteful number, since it uses less digits than its factorization.

2328192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2328192000 is about 48251.3419502505. The cubic root of 2328192000 is about 1325.3775119873.

The spelling of 2328192000 in words is "two billion, three hundred twenty-eight million, one hundred ninety-two thousand".