502768 has 30 divisors (see below), whose sum is σ = 1130136. Its totient is φ = 212256.

The previous prime is 502729. The next prime is 502769. The reversal of 502768 is 867205.

502768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502769) by changing a digit.

502768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7471 + ... + 7537.

2⁵⁰²⁷⁶⁸ 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 502768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565068).

502768 is an abundant number, since it is smaller than the sum of its proper divisors (627368).

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

502768 is an equidigital number, since it uses as much as digits as its factorization.

502768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 502768 is about 709.0613513653. The cubic root of 502768 is about 79.5162473551.

Multiplying 502768 by its sum of digits (28), we get a square (14077504 = 3752²).

502768 divided by its sum of digits (28) gives a square (17956 = 134²).

The spelling of 502768 in words is "five hundred two thousand, seven hundred sixty-eight".