563728500 has 144 divisors (see below), whose sum is σ = 1883241360. Its totient is φ = 141465600.

The previous prime is 563728493. The next prime is 563728513. The reversal of 563728500 is 5827365.

It can be written as a sum of positive squares in 8 ways, for example, as 23444964 + 540283536 = 4842^2 + 23244^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72816 + ... + 80184.

It is an arithmetic number, because the mean of its divisors is an integer number (13078065).

Almost surely, 2^563728500 is an apocalyptic number.

563728500 is a gapful number since it is divisible by the number (50) 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 563728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941620680).

563728500 is an abundant number, since it is smaller than the sum of its proper divisors (1319512860).

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

563728500 is a wasteful number, since it uses less digits than its factorization.

563728500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411 (or 7396 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 563728500 is about 23742.9673798369. The cubic root of 563728500 is about 826.0823260209.

The spelling of 563728500 in words is "five hundred sixty-three million, seven hundred twenty-eight thousand, five hundred".