827528 has 32 divisors (see below), whose sum is σ = 1709400. Its totient is φ = 373248.

The previous prime is 827521. The next prime is 827537. The reversal of 827528 is 825728.

It can be written as a sum of positive squares in 4 ways, for example, as 669124 + 158404 = 818^2 + 398^2 .

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 827494 and 827503.

It is not an unprimeable number, because it can be changed into a prime (827521) by changing a digit.

827528 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, 7538 + ... + 7646.

2⁸²⁷⁵²⁸ 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 827528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854700).

827528 is an abundant number, since it is smaller than the sum of its proper divisors (881872).

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

827528 is a wasteful number, since it uses less digits than its factorization.

827528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 827528 is about 909.6856599947. The cubic root of 827528 is about 93.8845723668.

The spelling of 827528 in words is "eight hundred twenty-seven thousand, five hundred twenty-eight".