82321200212328 has 96 divisors (see below), whose sum is σ = 277967689047360. Its totient is φ = 21382129923840.

The previous prime is 82321200212327. The next prime is 82321200212353.

82321200212328 is a `hidden beast` number, since 8 + 2 + 321 + 2 + 0 + 0 + 2 + 1 + 2 + 328 = 666.

82321200212328 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82321200212292 and 82321200212301.

It is not an unprimeable number, because it can be changed into a prime (82321200212327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7424345125 + ... + 7424356212.

It is an arithmetic number, because the mean of its divisors is an integer number (2895496760910).

Almost surely, 2^{82321200212328} is an apocalyptic number.

82321200212328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82321200212328 is an abundant number, since it is smaller than the sum of its proper divisors (195646488835032).

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

82321200212328 is a wasteful number, since it uses less digits than its factorization.

82321200212328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14848701367 (or 14848701360 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 82321200 and 212328, that added together give a palindrome (82533528).

The spelling of 82321200212328 in words is "eighty-two trillion, three hundred twenty-one billion, two hundred million, two hundred twelve thousand, three hundred twenty-eight".