Let's solve the expression step by step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Given expression:
$6^2 \div 3 \times 4 - 28 + 4$

1. Exponents:
   $6^2 = 36$
   So the expression becomes:
   $36 \div 3 \times 4 - 28 + 4$

2. Division and Multiplication (from left to right):
   First, divide:
   $36 \div 3 = 12$
   Then multiply:
   $12 \times 4 = 48$
   Now the expression is:
   $48 - 28 + 4$

3. Subtraction and Addition (from left to right):
   First, subtract:
   $48 - 28 = 20$
   Then add:
   $20 + 4 = 24$

So, the final result is:
$\boxed{24}$

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. How would the result change if the exponent were different, say $6^3$?
2. What happens if parentheses are added, like $(6^2 \div 3) \times 4$?
3. Can you apply this method to a similar problem involving fractions?
4. How does the order of operations affect the result if the problem is written as $6^2 \div (3 \times 4) - 28 + 4$?
5. What are some common mistakes people make when using the order of operations?

Tip: Always solve exponents and handle multiplication/division in the order they appear from left to right before proceeding to addition and subtraction.