8205225028 has 144 divisors (see below), whose sum is σ = 19752453504. Its totient is φ = 2931586560.

The previous prime is 8205225023. The next prime is 8205225029.

8205225028 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8205224984 and 8205225002.

It is not an unprimeable number, because it can be changed into a prime (8205225023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4679800 + ... + 4681552.

It is an arithmetic number, because the mean of its divisors is an integer number (137169816).

Almost surely, 2^8205225028 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 8205225028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9876226752).

8205225028 is an abundant number, since it is smaller than the sum of its proper divisors (11547228476).

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

8205225028 is a wasteful number, since it uses less digits than its factorization.

8205225028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 8205225028 is about 90582.6971777723. The cubic root of 8205225028 is about 2016.9578941968.

The spelling of 8205225028 in words is "eight billion, two hundred five million, two hundred twenty-five thousand, twenty-eight".