82826400462828 has 24 divisors (see below), whose sum is σ = 210830837542080. Its totient is φ = 25098909231120.

The previous prime is 82826400462823. The next prime is 82826400462847.

It is a happy number.

82826400462828 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82826400462828² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82826400462821) 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, 313736365258 + ... + 313736365521.

It is an arithmetic number, because the mean of its divisors is an integer number (8784618230920).

Almost surely, 2^{82826400462828} is an apocalyptic number.

It is an amenable number.

82826400462828 is an abundant number, since it is smaller than the sum of its proper divisors (128004437079252).

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

82826400462828 is a wasteful number, since it uses less digits than its factorization.

82826400462828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627472730797 (or 627472730795 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 60.

The spelling of 82826400462828 in words is "eighty-two trillion, eight hundred twenty-six billion, four hundred million, four hundred sixty-two thousand, eight hundred twenty-eight".