82310001328 has 80 divisors (see below), whose sum is σ = 176656443264. Its totient is φ = 36985118720.

The previous prime is 82310001299. The next prime is 82310001341.

82310001328 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82310001296 and 82310001305.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 445626 + ... + 602662.

Almost surely, 2^82310001328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82310001328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88328221632).

82310001328 is an abundant number, since it is smaller than the sum of its proper divisors (94346441936).

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

82310001328 is a wasteful number, since it uses less digits than its factorization.

82310001328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157150 (or 157144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 8231000 and 1328, that added together give a palindrome (8232328).

The spelling of 82310001328 in words is "eighty-two billion, three hundred ten million, one thousand, three hundred twenty-eight".