506928 has 40 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 165184.

The previous prime is 506911. The next prime is 506929. The reversal of 506928 is 829605.

506928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 506895 and 506904.

It is not an unprimeable number, because it can be changed into a prime (506929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2743 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁵⁰⁶⁹²⁸ 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 506928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

506928 is an abundant number, since it is smaller than the sum of its proper divisors (832272).

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

506928 is a wasteful number, since it uses less digits than its factorization.

506928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 506928 is about 711.9887639563. The cubic root of 506928 is about 79.7349562004.

The spelling of 506928 in words is "five hundred six thousand, nine hundred twenty-eight".