82442300324428 has 24 divisors (see below), whose sum is σ = 157390369257744. Its totient is φ = 37473648307200.

The previous prime is 82442300324399. The next prime is 82442300324473.

It is a happy number.

82442300324428 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82442300324428² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10990576 + ... + 16901992.

It is an arithmetic number, because the mean of its divisors is an integer number (6557932052406).

Almost surely, 2^{82442300324428} is an apocalyptic number.

It is an amenable number.

82442300324428 is a deficient number, since it is larger than the sum of its proper divisors (74948068933316).

82442300324428 is a wasteful number, since it uses less digits than its factorization.

82442300324428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228393 (or 6228391 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 46.

It can be divided in two parts, 82442300 and 324428, that added together give a palindrome (82766728).

The spelling of 82442300324428 in words is "eighty-two trillion, four hundred forty-two billion, three hundred million, three hundred twenty-four thousand, four hundred twenty-eight".