Brad and Sam take a $30-$year mortgage for a house that costs $$282,753.$ Assume the following:

The annual interest rate on the mortgage is $3\mathrm{.}8\%.$

The bank requires a minimum down payment of $12\%$ of the cost of the house.

The annual property tax is $1\mathrm{.}7\%$ of the cost of the house.

The annual homeowner's insurance is $$920.$

There is no PMI.

If they make the minimum down payment, what will their monthly PITI be$?$

Round your answer to the nearest dollar.