8228945088 has 448 divisors, whose sum is σ = 30491704320. Its totient is φ = 2118057984.

The previous prime is 8228945069. The next prime is 8228945093. The reversal of 8228945088 is 8805498228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×8228945088² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6761056 + ... + 6762272.

It is an arithmetic number, because the mean of its divisors is an integer number (68061840).

Almost surely, 2^8228945088 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 8228945088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245852160).

8228945088 is an abundant number, since it is smaller than the sum of its proper divisors (22262759232).

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

8228945088 is a wasteful number, since it uses less digits than its factorization.

8228945088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 8228945088 is about 90713.5331028397. The cubic root of 8228945088 is about 2018.8995973731.

The spelling of 8228945088 in words is "eight billion, two hundred twenty-eight million, nine hundred forty-five thousand, eighty-eight".