8249320128 has 224 divisors, whose sum is σ = 25611328000. Its totient is φ = 2342366208.

The previous prime is 8249320111. The next prime is 8249320181. The reversal of 8249320128 is 8210239428.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×8249320128³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15080751 + ... + 15081297.

Almost surely, 2^8249320128 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 8249320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805664000).

8249320128 is an abundant number, since it is smaller than the sum of its proper divisors (17362007872).

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

8249320128 is a wasteful number, since it uses less digits than its factorization.

8249320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 8249320128 is about 90825.7679736318. The cubic root of 8249320128 is about 2020.5645032119.

The spelling of 8249320128 in words is "eight billion, two hundred forty-nine million, three hundred twenty thousand, one hundred twenty-eight".