563188128 has 48 divisors (see below), whose sum is σ = 1487263680. Its totient is φ = 186599936.

The previous prime is 563188103. The next prime is 563188147. The reversal of 563188128 is 821881365.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 563188128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1533 + ... + 33596.

It is an arithmetic number, because the mean of its divisors is an integer number (30984660).

Almost surely, 2^563188128 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 563188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743631840).

563188128 is an abundant number, since it is smaller than the sum of its proper divisors (924075552).

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

563188128 is a wasteful number, since it uses less digits than its factorization.

563188128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35309 (or 35301 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 563188128 is about 23731.5850292390. The cubic root of 563188128 is about 825.8182896588.

It can be divided in two parts, 56318 and 8128, that added together give a palindrome (64446).

The spelling of 563188128 in words is "five hundred sixty-three million, one hundred eighty-eight thousand, one hundred twenty-eight".