8222728672 has 96 divisors (see below), whose sum is σ = 17616372480. Its totient is φ = 3768360960.

The previous prime is 8222728649. The next prime is 8222728681. The reversal of 8222728672 is 2768272228.

It is a super-2 number, since 2×8222728672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1522008 + ... + 1527400.

It is an arithmetic number, because the mean of its divisors is an integer number (183503880).

Almost surely, 2^8222728672 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 8222728672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808186240).

8222728672 is an abundant number, since it is smaller than the sum of its proper divisors (9393643808).

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

8222728672 is a wasteful number, since it uses less digits than its factorization.

8222728672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5508 counting only the distinct ones).

The product of its digits is 602112, while the sum is 46.

The square root of 8222728672 is about 90679.2626348494. The cubic root of 8222728672 is about 2018.3910882321.

The spelling of 8222728672 in words is "eight billion, two hundred twenty-two million, seven hundred twenty-eight thousand, six hundred seventy-two".