2857852800 has 768 divisors, whose sum is σ = 11899238400. Its totient is φ = 663552000.

The previous prime is 2857852793. The next prime is 2857852817. The reversal of 2857852800 is 82587582.

2857852800 is a `hidden beast` number, since 28 + 578 + 52 + 8 + 0 + 0 = 666.

2857852800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29462352 + ... + 29462448.

It is an arithmetic number, because the mean of its divisors is an integer number (15493800).

Almost surely, 2^2857852800 is an apocalyptic number.

2857852800 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 2857852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949619200).

2857852800 is an abundant number, since it is smaller than the sum of its proper divisors (9041385600).

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

2857852800 is a wasteful number, since it uses less digits than its factorization.

2857852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 2857852800 is about 53458.8888773420. Note that the first 4 decimals coincide. The cubic root of 2857852800 is about 1419.1009319032.

The spelling of 2857852800 in words is "two billion, eight hundred fifty-seven million, eight hundred fifty-two thousand, eight hundred".