2826798428160 has 2808 divisors, whose sum is σ = 13106489214960. Its totient is φ = 576111771648.

The previous prime is 2826798428117. The next prime is 2826798428191. The reversal of 2826798428160 is 618248976282.

2826798428160 is a `hidden beast` number, since 2 + 8 + 2 + 67 + 98 + 428 + 1 + 60 = 666.

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

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 148778864631 + ... + 148778864649.

Almost surely, 2^{2826798428160} is an apocalyptic number.

2826798428160 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 2826798428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6553244607480).

2826798428160 is an abundant number, since it is smaller than the sum of its proper divisors (10279690786800).

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

2826798428160 is a wasteful number, since it uses less digits than its factorization.

2826798428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2826798428160 in words is "two trillion, eight hundred twenty-six billion, seven hundred ninety-eight million, four hundred twenty-eight thousand, one hundred sixty".