Does someone know how to make a program that displays if a number is a perfect number?

Hi, I need to create a program that will display if a number is a perfect number or not. We need to use a boolean to determine if its perfect or not. Heere is what I have, but it's not working correctly.It displays that all numbers are perfect.Can someone help me find the problem?

#include <iostream>

#include <cmath>

using namespace std;

int main ()

{

//Prompt user to enter number and declare variables.

int n, sum = 0, f;

cout << "Please enter a number." << endl;

cin >> n;

while (n < 0)

{

cout << "Please enter a number." << endl;

cin >> n;

}

//Declare a boolean variable and additional variables as needed.Use rule to determine if it's a perfect number.

bool result;

for( f = 1; f <= n/2; f++)

if ( n % f == 0)

sum += f;

if ( sum == n)

result = true;

else

result = false;

//Use boolean variable to display results.

if (result = true)

cout << "The number " << n << " is a perfect number." << endl;

else if (result = false)

cout << "The number " << n << " is not a perfect number." << endl;

//Return that all is ok.

return 0;

}