8821881288 has 256 divisors, whose sum is σ = 28655769600. Its totient is φ = 2487386880.

The previous prime is 8821881269. The next prime is 8821881347.

8821881288 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2019795 + ... + 2024157.

It is an arithmetic number, because the mean of its divisors is an integer number (111936600).

Almost surely, 2^8821881288 is an apocalyptic number.

8821881288 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 8821881288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14327884800).

8821881288 is an abundant number, since it is smaller than the sum of its proper divisors (19833888312).

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

8821881288 is a wasteful number, since it uses less digits than its factorization.

8821881288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4439 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 54.

The square root of 8821881288 is about 93924.8704444142. The cubic root of 8821881288 is about 2066.2699977972.

The spelling of 8821881288 in words is "eight billion, eight hundred twenty-one million, eight hundred eighty-one thousand, two hundred eighty-eight".