82022211222028 has 48 divisors (see below), whose sum is σ = 178987769743104. Its totient is φ = 31951309602240.

The previous prime is 82022211221983. The next prime is 82022211222041.

82022211222028 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×82022211222028² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 82022211221984 and 82022211222002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20656375 + ... + 24304942.

It is an arithmetic number, because the mean of its divisors is an integer number (3728911869648).

Almost surely, 2^{82022211222028} is an apocalyptic number.

It is an amenable number.

82022211222028 is an abundant number, since it is smaller than the sum of its proper divisors (96965558521076).

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

82022211222028 is a wasteful number, since it uses less digits than its factorization.

82022211222028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44967262 (or 44967260 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

It can be divided in two parts, 8202221 and 1222028, that added together give a palindrome (9424249).

The spelling of 82022211222028 in words is "eighty-two trillion, twenty-two billion, two hundred eleven million, two hundred twenty-two thousand, twenty-eight".