2328768 has 84 divisors (see below), whose sum is σ = 7211568. Its totient is φ = 714240.

The previous prime is 2328763. The next prime is 2328769. The reversal of 2328768 is 8678232.

It is a happy number.

2328768 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2328761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7333 + ... + 7643.

It is an arithmetic number, because the mean of its divisors is an integer number (85852).

2^2328768 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 2328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605784).

2328768 is an abundant number, since it is smaller than the sum of its proper divisors (4882800).

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

2328768 is a wasteful number, since it uses less digits than its factorization.

2328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2328768 is about 1526.0301438700. The cubic root of 2328768 is about 132.5486803446.

The spelling of 2328768 in words is "two million, three hundred twenty-eight thousand, seven hundred sixty-eight".