8228529120 has 384 divisors, whose sum is σ = 31707970560. Its totient is φ = 1751777280.

The previous prime is 8228529073. The next prime is 8228529143. The reversal of 8228529120 is 219258228.

It is a congruent number.

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, 3893184 + ... + 3895296.

It is an arithmetic number, because the mean of its divisors is an integer number (82572840).

Almost surely, 2^8228529120 is an apocalyptic number.

8228529120 is a gapful number since it is divisible by the number (80) 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 8228529120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853985280).

8228529120 is an abundant number, since it is smaller than the sum of its proper divisors (23479441440).

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

8228529120 is a wasteful number, since it uses less digits than its factorization.

8228529120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 8228529120 is about 90711.2403178349. The cubic root of 8228529120 is about 2018.8655787648.

The spelling of 8228529120 in words is "eight billion, two hundred twenty-eight million, five hundred twenty-nine thousand, one hundred twenty".