8252882528 has 48 divisors (see below), whose sum is σ = 17733764160. Its totient is φ = 3749443200.

The previous prime is 8252882489. The next prime is 8252882549.

8252882528 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×8252882528² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 903263 + ... + 912353.

It is an arithmetic number, because the mean of its divisors is an integer number (369453420).

Almost surely, 2^8252882528 is an apocalyptic number.

8252882528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8252882528 is an abundant number, since it is smaller than the sum of its proper divisors (9480881632).

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

8252882528 is a wasteful number, since it uses less digits than its factorization.

8252882528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691 (or 11683 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 50.

The square root of 8252882528 is about 90845.3770315254. The cubic root of 8252882528 is about 2020.8553159893.

The spelling of 8252882528 in words is "eight billion, two hundred fifty-two million, eight hundred eighty-two thousand, five hundred twenty-eight".