8256886528 has 72 divisors (see below), whose sum is σ = 18008138736. Its totient is φ = 3747225600.

The previous prime is 8256886523. The next prime is 8256886543.

It is a happy number.

8256886528 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256886523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2141050 + ... + 2144902.

It is an arithmetic number, because the mean of its divisors is an integer number (250113038).

Almost surely, 2^8256886528 is an apocalyptic number.

8256886528 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 8256886528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004069368).

8256886528 is an abundant number, since it is smaller than the sum of its proper divisors (9751252208).

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

8256886528 is a wasteful number, since it uses less digits than its factorization.

8256886528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4627 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 58.

The square root of 8256886528 is about 90867.4118042327. The cubic root of 8256886528 is about 2021.1820784444.

The spelling of 8256886528 in words is "eight billion, two hundred fifty-six million, eight hundred eighty-six thousand, five hundred twenty-eight".