2828002738176 has 540 divisors, whose sum is σ = 10263011312736. Its totient is φ = 734513725440.

The previous prime is 2828002738157. The next prime is 2828002738217. The reversal of 2828002738176 is 6718372008282.

2828002738176 is a `hidden beast` number, since 28 + 280 + 0 + 273 + 8 + 1 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124883911 + ... + 124906553.

Almost surely, 2^{2828002738176} 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 2828002738176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131505656368).

2828002738176 is an abundant number, since it is smaller than the sum of its proper divisors (7435008574560).

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

2828002738176 is a wasteful number, since it uses less digits than its factorization.

2828002738176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22706 (or 22666 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 2828002738176 in words is "two trillion, eight hundred twenty-eight billion, two million, seven hundred thirty-eight thousand, one hundred seventy-six".