7871945328 has 240 divisors, whose sum is σ = 25559614080. Its totient is φ = 2240856576.

The previous prime is 7871945317. The next prime is 7871945357. The reversal of 7871945328 is 8235491787.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1526851 + ... + 1531997.

It is an arithmetic number, because the mean of its divisors is an integer number (106498392).

Almost surely, 2^7871945328 is an apocalyptic number.

7871945328 is a gapful number since it is divisible by the number (78) 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 7871945328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12779807040).

7871945328 is an abundant number, since it is smaller than the sum of its proper divisors (17687668752).

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

7871945328 is a wasteful number, since it uses less digits than its factorization.

7871945328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5227 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The square root of 7871945328 is about 88723.9839502262. The cubic root of 7871945328 is about 1989.2713280421.

The spelling of 7871945328 in words is "seven billion, eight hundred seventy-one million, nine hundred forty-five thousand, three hundred twenty-eight".