I have a little antifreeze in the car. Will it freeze & hurt the car @ 4 degrees

What is your question?

The car overheated, then the battery died. Now it won't start. I put cheap antifreeze in and afterword noticed on the label it read 'do not add water' which I did. One 1/2 gallon antifreeze to one 1/2 gallon water. I then added 1/4 gallon of antifreeze labeled 'must add water' and that was all I could put in since the battery was dead. The temperature will be around 4 degrees tonight. Is the car in danger of cracking it's block in the sub zero temperatures and if not, how warm should I wait for it to get till I try to start the engine again?