82824042828 has 96 divisors (see below), whose sum is σ = 200830629888. Its totient is φ = 26544672000.

The previous prime is 82824042799. The next prime is 82824042839.

82824042828 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28295101 + ... + 28298027.

It is an arithmetic number, because the mean of its divisors is an integer number (2091985728).

Almost surely, 2^82824042828 is an apocalyptic number.

It is an amenable number.

82824042828 is an abundant number, since it is smaller than the sum of its proper divisors (118006587060).

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

82824042828 is a wasteful number, since it uses less digits than its factorization.

82824042828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 82824042828 in words is "eighty-two billion, eight hundred twenty-four million, forty-two thousand, eight hundred twenty-eight".