505728 has 48 divisors (see below), whose sum is σ = 1458600. Its totient is φ = 168192.

The previous prime is 505727. The next prime is 505759. The reversal of 505728 is 827505.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 933 + ... + 1371.

2⁵⁰⁵⁷²⁸ 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 505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729300).

505728 is an abundant number, since it is smaller than the sum of its proper divisors (952872).

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

505728 is a wasteful number, since it uses less digits than its factorization.

505728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 505728 is about 711.1455547214. The cubic root of 505728 is about 79.6719902918.

It can be divided in two parts, 50 and 5728, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 505728 in words is "five hundred five thousand, seven hundred twenty-eight".