82333633328 has 40 divisors (see below), whose sum is σ = 160639718400. Its totient is φ = 40878876224.

The previous prime is 82333633297. The next prime is 82333633339.

It is a happy number.

82333633328 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039225 + ... + 2079207.

It is an arithmetic number, because the mean of its divisors is an integer number (4015992960).

Almost surely, 2^82333633328 is an apocalyptic number.

It is an amenable number.

82333633328 is a deficient number, since it is larger than the sum of its proper divisors (78306085072).

82333633328 is a wasteful number, since it uses less digits than its factorization.

82333633328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40889 (or 40883 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 44.

The spelling of 82333633328 in words is "eighty-two billion, three hundred thirty-three million, six hundred thirty-three thousand, three hundred twenty-eight".