8204224028 has 192 divisors, whose sum is σ = 20073209856. Its totient is φ = 2830464000.

The previous prime is 8204224027. The next prime is 8204224043.

It is a happy number.

8204224028 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8204224028² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8204223985 and 8204224003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8204224027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19487258 + ... + 19487678.

It is an arithmetic number, because the mean of its divisors is an integer number (104547968).

Almost surely, 2^8204224028 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 8204224028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036604928).

8204224028 is an abundant number, since it is smaller than the sum of its proper divisors (11868985828).

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

8204224028 is a wasteful number, since it uses less digits than its factorization.

8204224028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 8204224028 is about 90577.1716714537. The cubic root of 8204224028 is about 2016.8758709757.

It can be divided in two parts, 8204 and 224028, that added together give a palindrome (232232).

The spelling of 8204224028 in words is "eight billion, two hundred four million, two hundred twenty-four thousand, twenty-eight".