563528448 has 288 divisors, whose sum is σ = 2008025600. Its totient is φ = 152285184.

The previous prime is 563528443. The next prime is 563528503. The reversal of 563528448 is 844825365.

563528448 is a `hidden beast` number, since 5 + 635 + 2 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (563528443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918990 + ... + 919602.

Almost surely, 2^563528448 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 563528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004012800).

563528448 is an abundant number, since it is smaller than the sum of its proper divisors (1444497152).

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

563528448 is a wasteful number, since it uses less digits than its factorization.

563528448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 644 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 563528448 is about 23738.7541374858. The cubic root of 563528448 is about 825.9845963667.

The spelling of 563528448 in words is "five hundred sixty-three million, five hundred twenty-eight thousand, four hundred forty-eight".