528272 has 20 divisors (see below), whose sum is σ = 1035276. Its totient is φ = 261120.

The previous prime is 528263. The next prime is 528289. The reversal of 528272 is 272825.

It can be written as a sum of positive squares in 2 ways, for example, as 355216 + 173056 = 596^2 + 416^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 5⁵ + 2² + 2¹⁸ + 8³ + 7³ + 2¹⁸ .

It is an unprimeable number.

528272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 2072 + ... + 2312.

2⁵²⁸²⁷² is an apocalyptic number.

It is an amenable number.

528272 is a deficient number, since it is larger than the sum of its proper divisors (507004).

528272 is a wasteful number, since it uses less digits than its factorization.

528272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 2240, while the sum is 26.

The square root of 528272 is about 726.8232247252. The cubic root of 528272 is about 80.8386770360.

The spelling of 528272 in words is "five hundred twenty-eight thousand, two hundred seventy-two".