508128 has 48 divisors (see below), whose sum is σ = 1370880. Its totient is φ = 164736.

The previous prime is 508103. The next prime is 508129. The reversal of 508128 is 821805.

508128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 508098 and 508107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508129) by changing a digit.

508128 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 7 ways as a sum of consecutive naturals, for example, 6393 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (28560).

2⁵⁰⁸¹²⁸ 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 508128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685440).

508128 is an abundant number, since it is smaller than the sum of its proper divisors (862752).

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

508128 is a wasteful number, since it uses less digits than its factorization.

508128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 508128 is about 712.8309757579. The cubic root of 508128 is about 79.7978228186.

It can be divided in two parts, 508 and 128, that added together give a palindrome (636).

The spelling of 508128 in words is "five hundred eight thousand, one hundred twenty-eight".