2853288920 has 128 divisors (see below), whose sum is σ = 6886425600. Its totient is φ = 1061558784.

The previous prime is 2853288913. The next prime is 2853288941. The reversal of 2853288920 is 298823582.

It is a happy number.

2853288920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7947701 + ... + 7948059.

It is an arithmetic number, because the mean of its divisors is an integer number (53800200).

Almost surely, 2^2853288920 is an apocalyptic number.

2853288920 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 2853288920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443212800).

2853288920 is an abundant number, since it is smaller than the sum of its proper divisors (4033136680).

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

2853288920 is a wasteful number, since it uses less digits than its factorization.

2853288920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The square root of 2853288920 is about 53416.1859364743. The cubic root of 2853288920 is about 1418.3451130529.

The spelling of 2853288920 in words is "two billion, eight hundred fifty-three million, two hundred eighty-eight thousand, nine hundred twenty".