2826232162128 has 400 divisors, whose sum is σ = 8433894839040. Its totient is φ = 913376673792.

The previous prime is 2826232162111. The next prime is 2826232162163. The reversal of 2826232162128 is 8212612326282.

2826232162128 is a `hidden beast` number, since 2 + 8 + 2 + 623 + 2 + 1 + 6 + 2 + 12 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1986107625 + ... + 1986109047.

Almost surely, 2^{2826232162128} 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 2826232162128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216947419520).

2826232162128 is an abundant number, since it is smaller than the sum of its proper divisors (5607662676912).

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

2826232162128 is a wasteful number, since it uses less digits than its factorization.

2826232162128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 1841 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 2826232162128 in words is "two trillion, eight hundred twenty-six billion, two hundred thirty-two million, one hundred sixty-two thousand, one hundred twenty-eight".