8252442528 has 96 divisors (see below), whose sum is σ = 23984916480. Its totient is φ = 2463394560.

The previous prime is 8252442521. The next prime is 8252442529.

It is a happy number.

8252442528 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 8252442528.

It is not an unprimeable number, because it can be changed into a prime (8252442521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12433 + ... + 129071.

It is an arithmetic number, because the mean of its divisors is an integer number (249842880).

Almost surely, 2^8252442528 is an apocalyptic number.

8252442528 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 8252442528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11992458240).

8252442528 is an abundant number, since it is smaller than the sum of its proper divisors (15732473952).

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

8252442528 is a wasteful number, since it uses less digits than its factorization.

8252442528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116730 (or 116722 counting only the distinct ones).

The product of its digits is 409600, while the sum is 42.

The square root of 8252442528 is about 90842.9553019936. The cubic root of 8252442528 is about 2020.8194015824.

The spelling of 8252442528 in words is "eight billion, two hundred fifty-two million, four hundred forty-two thousand, five hundred twenty-eight".