6528008448 has 216 divisors, whose sum is σ = 21338378880. Its totient is φ = 1902735360.

The previous prime is 6528008411. The next prime is 6528008471. The reversal of 6528008448 is 8448008256.

6528008448 is a `hidden beast` number, since 6 + 528 + 0 + 0 + 84 + 48 = 666.

It is a super-2 number, since 2×6528008448² = 85229788594318737408, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 563353 + ... + 574823.

Almost surely, 2^6528008448 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 6528008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669189440).

6528008448 is an abundant number, since it is smaller than the sum of its proper divisors (14810370432).

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

6528008448 is a wasteful number, since it uses less digits than its factorization.

6528008448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11525 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 6528008448 is about 80796.0917866700. The cubic root of 6528008448 is about 1868.9322975475.

The spelling of 6528008448 in words is "six billion, five hundred twenty-eight million, eight thousand, four hundred forty-eight".