563320128 has 224 divisors, whose sum is σ = 1792224000. Its totient is φ = 152764416.

The previous prime is 563320103. The next prime is 563320169. The reversal of 563320128 is 821023365.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 563320095 and 563320104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3780598 + ... + 3780746.

It is an arithmetic number, because the mean of its divisors is an integer number (8001000).

Almost surely, 2^563320128 is an apocalyptic number.

563320128 is a gapful number since it is divisible by the number (58) 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 563320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896112000).

563320128 is an abundant number, since it is smaller than the sum of its proper divisors (1228903872).

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

563320128 is a wasteful number, since it uses less digits than its factorization.

563320128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 563320128 is about 23734.3659700444. The cubic root of 563320128 is about 825.8828030328.

The spelling of 563320128 in words is "five hundred sixty-three million, three hundred twenty thousand, one hundred twenty-eight".