82466432028 has 36 divisors (see below), whose sum is σ = 208489088808. Its totient is φ = 27484554720.

The previous prime is 82466432021. The next prime is 82466432029. The reversal of 82466432028 is 82023466428.

82466432028 is a `hidden beast` number, since 8 + 246 + 64 + 320 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×82466432028² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82466432021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62875 + ... + 410957.

It is an arithmetic number, because the mean of its divisors is an integer number (5791363578).

Almost surely, 2^82466432028 is an apocalyptic number.

It is an amenable number.

82466432028 is an abundant number, since it is smaller than the sum of its proper divisors (126022656780).

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

82466432028 is a wasteful number, since it uses less digits than its factorization.

82466432028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354674 (or 354669 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 82466432028 in words is "eighty-two billion, four hundred sixty-six million, four hundred thirty-two thousand, twenty-eight".