538128 has 60 divisors (see below), whose sum is σ = 1562028. Its totient is φ = 172800.

The previous prime is 538127. The next prime is 538147. The reversal of 538128 is 821835.

It is a happy number.

538128 is a `hidden beast` number, since 538 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 501264 + 36864 = 708^2 + 192^2 .

It is not an unprimeable number, because it can be changed into a prime (538121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5278 + ... + 5378.

2⁵³⁸¹²⁸ 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 538128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781014).

538128 is an abundant number, since it is smaller than the sum of its proper divisors (1023900).

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

538128 is a wasteful number, since it uses less digits than its factorization.

538128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 538128 is about 733.5720823477. The cubic root of 538128 is about 81.3383197397.

It can be divided in two parts, 538 and 128, that added together give a palindrome (666).

The spelling of 538128 in words is "five hundred thirty-eight thousand, one hundred twenty-eight".