2828049469056 has 640 divisors, whose sum is σ = 9787739174400. Its totient is φ = 793867143168.

The previous prime is 2828049469033. The next prime is 2828049469117. The reversal of 2828049469056 is 6509649408282.

2828049469056 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 0 + 494 + 6 + 90 + 56 = 666.

It is a super-2 number, since 2×2828049469056² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2828049468984 and 2828049469002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3593455095 + ... + 3593455881.

It is an arithmetic number, because the mean of its divisors is an integer number (15293342460).

Almost surely, 2^{2828049469056} 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 2828049469056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893869587200).

2828049469056 is an abundant number, since it is smaller than the sum of its proper divisors (6959689705344).

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

2828049469056 is an equidigital number, since it uses as much as digits as its factorization.

2828049469056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 2828049469056 in words is "two trillion, eight hundred twenty-eight billion, forty-nine million, four hundred sixty-nine thousand, fifty-six".