2856228960 has 192 divisors, whose sum is σ = 10199589120. Its totient is φ = 666040320.

The previous prime is 2856228953. The next prime is 2856228971. The reversal of 2856228960 is 698226582.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 106515 + ... + 130605.

It is an arithmetic number, because the mean of its divisors is an integer number (53122860).

Almost surely, 2^2856228960 is an apocalyptic number.

2856228960 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 2856228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099794560).

2856228960 is an abundant number, since it is smaller than the sum of its proper divisors (7343360160).

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

2856228960 is a wasteful number, since it uses less digits than its factorization.

2856228960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24141 (or 24133 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 2856228960 is about 53443.6989737799. The cubic root of 2856228960 is about 1418.8321019330.

The spelling of 2856228960 in words is "two billion, eight hundred fifty-six million, two hundred twenty-eight thousand, nine hundred sixty".