8252128260 has 192 divisors, whose sum is σ = 27172454400. Its totient is φ = 2073340800.

The previous prime is 8252128217. The next prime is 8252128267. The reversal of 8252128260 is 628212528.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8252128267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1957555 + ... + 1961765.

It is an arithmetic number, because the mean of its divisors is an integer number (141523200).

Almost surely, 2^8252128260 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 8252128260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586227200).

8252128260 is an abundant number, since it is smaller than the sum of its proper divisors (18920326140).

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

8252128260 is a wasteful number, since it uses less digits than its factorization.

8252128260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8252128260 is about 90841.2255531595. The cubic root of 8252128260 is about 2020.7937490991.

The spelling of 8252128260 in words is "eight billion, two hundred fifty-two million, one hundred twenty-eight thousand, two hundred sixty".