82042224028 has 48 divisors (see below), whose sum is σ = 146573328384. Its totient is φ = 40174686720.

The previous prime is 82042224001. The next prime is 82042224091.

82042224028 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82042223984 and 82042224002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21236025 + ... + 21239887.

It is an arithmetic number, because the mean of its divisors is an integer number (3053611008).

Almost surely, 2^82042224028 is an apocalyptic number.

It is an amenable number.

82042224028 is a deficient number, since it is larger than the sum of its proper divisors (64531104356).

82042224028 is a wasteful number, since it uses less digits than its factorization.

82042224028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The spelling of 82042224028 in words is "eighty-two billion, forty-two million, two hundred twenty-four thousand, twenty-eight".