523728 has 30 divisors (see below), whose sum is σ = 1466114. Its totient is φ = 174528.

The previous prime is 523717. The next prime is 523729. The reversal of 523728 is 827325.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 219024 = 552^2 + 468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523729) by changing a digit.

523728 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1675 + ... + 1962.

2⁵²³⁷²⁸ is an apocalyptic number.

It is an amenable number.

523728 is an abundant number, since it is smaller than the sum of its proper divisors (942386).

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

523728 is a wasteful number, since it uses less digits than its factorization.

523728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3642 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 523728 is about 723.6905415991. The cubic root of 523728 is about 80.6062278271.

The spelling of 523728 in words is "five hundred twenty-three thousand, seven hundred twenty-eight".