8828228288 has 56 divisors (see below), whose sum is σ = 19237903104. Its totient is φ = 3986208000.

The previous prime is 8828228287. The next prime is 8828228309.

8828228288 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8828228288² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8828228287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64781 + ... + 147827.

It is an arithmetic number, because the mean of its divisors is an integer number (343533984).

Almost surely, 2^8828228288 is an apocalyptic number.

8828228288 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8828228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9618951552).

8828228288 is an abundant number, since it is smaller than the sum of its proper divisors (10409674816).

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

8828228288 is a wasteful number, since it uses less digits than its factorization.

8828228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83221 (or 83211 counting only the distinct ones).

The product of its digits is 4194304, while the sum is 56.

The square root of 8828228288 is about 93958.6520124677. The cubic root of 8828228288 is about 2066.7654126017.

The spelling of 8828228288 in words is "eight billion, eight hundred twenty-eight million, two hundred twenty-eight thousand, two hundred eighty-eight".