2828282720256 has 624 divisors, whose sum is σ = 9535322646720. Its totient is φ = 791024762880.

The previous prime is 2828282720251. The next prime is 2828282720267. The reversal of 2828282720256 is 6520272828282.

It is a happy number.

2828282720256 is a `hidden beast` number, since 28 + 28 + 282 + 72 + 0 + 256 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828282720251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5556547330 + ... + 5556547838.

It is an arithmetic number, because the mean of its divisors is an integer number (15280965780).

Almost surely, 2^{2828282720256} 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 2828282720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767661323360).

2828282720256 is an abundant number, since it is smaller than the sum of its proper divisors (6707039926464).

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

2828282720256 is a wasteful number, since it uses less digits than its factorization.

2828282720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2828282720256 in words is "two trillion, eight hundred twenty-eight billion, two hundred eighty-two million, seven hundred twenty thousand, two hundred fifty-six".