8830872288 has 768 divisors, whose sum is σ = 33339801600. Its totient is φ = 2217093120.

The previous prime is 8830872263. The next prime is 8830872313. The reversal of 8830872288 is 8822780388.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8830872263) and next prime (8830872313).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131804031 + ... + 131804097.

It is an arithmetic number, because the mean of its divisors is an integer number (43411200).

Almost surely, 2^8830872288 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 8830872288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16669900800).

8830872288 is an abundant number, since it is smaller than the sum of its proper divisors (24508929312).

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

8830872288 is a wasteful number, since it uses less digits than its factorization.

8830872288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The square root of 8830872288 is about 93972.7209779519. The cubic root of 8830872288 is about 2066.9717198445.

The spelling of 8830872288 in words is "eight billion, eight hundred thirty million, eight hundred seventy-two thousand, two hundred eighty-eight".