2868323328 has 264 divisors, whose sum is σ = 9053062200. Its totient is φ = 869400576.

The previous prime is 2868323323. The next prime is 2868323383. The reversal of 2868323328 is 8233238682.

2868323328 is a `hidden beast` number, since 286 + 8 + 32 + 332 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150994944 + 2717328384 = 12288^2 + 52128^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2868323323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10662778 + ... + 10663046.

Almost surely, 2^2868323328 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 2868323328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526531100).

2868323328 is an abundant number, since it is smaller than the sum of its proper divisors (6184738872).

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

2868323328 is a wasteful number, since it uses less digits than its factorization.

2868323328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2868323328 is about 53556.7299972655. The cubic root of 2868323328 is about 1420.8319082194.

The spelling of 2868323328 in words is "two billion, eight hundred sixty-eight million, three hundred twenty-three thousand, three hundred twenty-eight".