2828253055680 has 1344 divisors, whose sum is σ = 11192424542208. Its totient is φ = 650249994240.

The previous prime is 2828253055679. The next prime is 2828253055717. The reversal of 2828253055680 is 865503528282.

2828253055680 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 2 + 5 + 3 + 0 + 556 + 80 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 10210299702 + ... + 10210299978.

It is an arithmetic number, because the mean of its divisors is an integer number (8327696832).

Almost surely, 2^{2828253055680} is an apocalyptic number.

2828253055680 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 2828253055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596212271104).

2828253055680 is an abundant number, since it is smaller than the sum of its proper divisors (8364171486528).

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

2828253055680 is a wasteful number, since it uses less digits than its factorization.

2828253055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 2828253055680 in words is "two trillion, eight hundred twenty-eight billion, two hundred fifty-three million, fifty-five thousand, six hundred eighty".