559728 has 90 divisors (see below), whose sum is σ = 1769976. Its totient is φ = 164736.

The previous prime is 559709. The next prime is 559739. The reversal of 559728 is 827955.

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

Its product of digits (25200) is a multiple of the sum of its prime factors (63).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 559692 and 559701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24325 + ... + 24347.

2⁵⁵⁹⁷²⁸ 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 559728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884988).

559728 is an abundant number, since it is smaller than the sum of its proper divisors (1210248).

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

559728 is a wasteful number, since it uses less digits than its factorization.

559728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 41 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 559728 is about 748.1497176368. The cubic root of 559728 is about 82.4123587206.

It can be divided in two parts, 5597 and 28, that added together give a square (5625 = 75²).

The spelling of 559728 in words is "five hundred fifty-nine thousand, seven hundred twenty-eight".