828776242677828 has 24 divisors (see below), whose sum is σ = 1934516746028160. Its totient is φ = 276157959971680.

The previous prime is 828776242677769. The next prime is 828776242677829.

It is a happy number.

828776242677828 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (828776242677829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12598414188 + ... + 12598479971.

It is an arithmetic number, because the mean of its divisors is an integer number (80604864417840).

Almost surely, 2^{828776242677828} is an apocalyptic number.

It is an amenable number.

828776242677828 is an abundant number, since it is smaller than the sum of its proper divisors (1105740503350332).

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

828776242677828 is a wasteful number, since it uses less digits than its factorization.

828776242677828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25196896907 (or 25196896905 counting only the distinct ones).

The product of its digits is 22658678784, while the sum is 84.

The spelling of 828776242677828 in words is "eight hundred twenty-eight trillion, seven hundred seventy-six billion, two hundred forty-two million, six hundred seventy-seven thousand, eight hundred twenty-eight".