2813833728 has 200 divisors, whose sum is σ = 8843057520. Its totient is φ = 888330240.

The previous prime is 2813833669. The next prime is 2813833733. The reversal of 2813833728 is 8273383182.

2813833728 is a `hidden beast` number, since 281 + 38 + 337 + 2 + 8 = 666.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 786183 + ... + 789753.

Almost surely, 2^2813833728 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 2813833728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421528760).

2813833728 is an abundant number, since it is smaller than the sum of its proper divisors (6029223792).

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

2813833728 is an equidigital number, since it uses as much as digits as its factorization.

2813833728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3595 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2813833728 is about 53045.5816067653. The cubic root of 2813833728 is about 1411.7771344788. Note that the first 3 decimals are identical.

The spelling of 2813833728 in words is "two billion, eight hundred thirteen million, eight hundred thirty-three thousand, seven hundred twenty-eight".