528138 has 48 divisors (see below), whose sum is σ = 1286376. Its totient is φ = 155520.

The previous prime is 528137. The next prime is 528163. The reversal of 528138 is 831825.

It is a happy number.

528138 is a `hidden beast` number, since 528 + 138 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 328329 + 199809 = 573^2 + 447^2 .

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (528131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8628 + ... + 8688.

2⁵²⁸¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643188).

528138 is an abundant number, since it is smaller than the sum of its proper divisors (758238).

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

528138 is a wasteful number, since it uses less digits than its factorization.

528138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 116 counting only the distinct ones).

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

The square root of 528138 is about 726.7310369043. The cubic root of 528138 is about 80.8318413536.

It can be divided in two parts, 528 and 138, that added together give a palindrome (666).

The spelling of 528138 in words is "five hundred twenty-eight thousand, one hundred thirty-eight".