82820222202828 has 96 divisors (see below), whose sum is σ = 220243852120320. Its totient is φ = 23991704800000.

The previous prime is 82820222202797. The next prime is 82820222202841.

82820222202828 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, 106719198 + ... + 107492453.

It is an arithmetic number, because the mean of its divisors is an integer number (2294206792920).

Almost surely, 2^{82820222202828} is an apocalyptic number.

It is an amenable number.

82820222202828 is an abundant number, since it is smaller than the sum of its proper divisors (137423629917492).

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

82820222202828 is a wasteful number, since it uses less digits than its factorization.

82820222202828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214211799 (or 214211797 counting only the distinct ones).

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

The spelling of 82820222202828 in words is "eighty-two trillion, eight hundred twenty billion, two hundred twenty-two million, two hundred two thousand, eight hundred twenty-eight".