2813468928 has 288 divisors, whose sum is σ = 8406236160. Its totient is φ = 831283200.

The previous prime is 2813468921. The next prime is 2813468929. The reversal of 2813468928 is 8298643182.

It is not an unprimeable number, because it can be changed into a prime (2813468921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27856078 + ... + 27856178.

It is an arithmetic number, because the mean of its divisors is an integer number (29188320).

Almost surely, 2^2813468928 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 2813468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203118080).

2813468928 is an abundant number, since it is smaller than the sum of its proper divisors (5592767232).

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

2813468928 is a wasteful number, since it uses less digits than its factorization.

2813468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 51.

The square root of 2813468928 is about 53042.1429431353. The cubic root of 2813468928 is about 1411.7161218052.

The spelling of 2813468928 in words is "two billion, eight hundred thirteen million, four hundred sixty-eight thousand, nine hundred twenty-eight".