8247875328 has 288 divisors, whose sum is σ = 30410795520. Its totient is φ = 2142167040.

The previous prime is 8247875303. The next prime is 8247875347. The reversal of 8247875328 is 8235787428.

8247875328 is a `hidden beast` number, since 8 + 24 + 7 + 87 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8247875328² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 524476 + ... + 539972.

It is an arithmetic number, because the mean of its divisors is an integer number (105593040).

Almost surely, 2^8247875328 is an apocalyptic number.

8247875328 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 8247875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205397760).

8247875328 is an abundant number, since it is smaller than the sum of its proper divisors (22162920192).

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

8247875328 is a wasteful number, since it uses less digits than its factorization.

8247875328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15540 (or 15520 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 8247875328 is about 90817.8139353728. The cubic root of 8247875328 is about 2020.4465346198.

The spelling of 8247875328 in words is "eight billion, two hundred forty-seven million, eight hundred seventy-five thousand, three hundred twenty-eight".