6528228256 has 48 divisors (see below), whose sum is σ = 14048058528. Its totient is φ = 2961619200.

The previous prime is 6528228151. The next prime is 6528228257.

6528228256 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6528228257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166366 + ... + 201826.

It is an arithmetic number, because the mean of its divisors is an integer number (292667886).

Almost surely, 2^6528228256 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 6528228256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024029264).

6528228256 is an abundant number, since it is smaller than the sum of its proper divisors (7519830272).

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

6528228256 is a wasteful number, since it uses less digits than its factorization.

6528228256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36005 (or 35997 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The square root of 6528228256 is about 80797.4520390340. The cubic root of 6528228256 is about 1868.9532739123.

The spelling of 6528228256 in words is "six billion, five hundred twenty-eight million, two hundred twenty-eight thousand, two hundred fifty-six".