8237007328 has 96 divisors (see below), whose sum is σ = 17940569472. Its totient is φ = 3691584000.

The previous prime is 8237007323. The next prime is 8237007343.

8237007328 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8237007323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15749275 + ... + 15749797.

It is an arithmetic number, because the mean of its divisors is an integer number (186880932).

Almost surely, 2^8237007328 is an apocalyptic number.

8237007328 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 8237007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8970284736).

8237007328 is an abundant number, since it is smaller than the sum of its proper divisors (9703562144).

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

8237007328 is a wasteful number, since it uses less digits than its factorization.

8237007328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 8237007328 is about 90757.9601357369. The cubic root of 8237007328 is about 2019.5587154862.

The spelling of 8237007328 in words is "eight billion, two hundred thirty-seven million, seven thousand, three hundred twenty-eight".