8275225728 has 512 divisors, whose sum is σ = 29484103680. Its totient is φ = 1990656000.

The previous prime is 8275225709. The next prime is 8275225741.

8275225728 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50768175 + ... + 50768337.

It is an arithmetic number, because the mean of its divisors is an integer number (57586140).

Almost surely, 2^8275225728 is an apocalyptic number.

8275225728 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 8275225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742051840).

8275225728 is an abundant number, since it is smaller than the sum of its proper divisors (21208877952).

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

8275225728 is a wasteful number, since it uses less digits than its factorization.

8275225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The square root of 8275225728 is about 90968.2676981375. The cubic root of 8275225728 is about 2022.6773738460.

The spelling of 8275225728 in words is "eight billion, two hundred seventy-five million, two hundred twenty-five thousand, seven hundred twenty-eight".