Take a look at your treadmill again. I've never seen a treadmill that says "anaerobic zone". I've seen lots with HR charts that list "Aerobic Zone" or "Fat Burning Zone". I've seen some that list "High Intensity" or something like that. They really don't mean anything and are very vague. The ranges they list are very wide. All of those charts should be erased from the treadmill.
My question to you is....How do you feel after this run? Don't let the treadmill tell you how you should feel. If you run a high intensity run for 28-38 minutes you are going to be dead tired, breathing hard, sweating hard. What are you trying to do? What are you training for? If you're training for a local 5k then running hard for 28-38 minutes straight you might not be running fast enough. It is a good over-distance endurance run though. My suggestion, if you are training for a local 5k, would be run run hard for that amount of time or a little longer, let's say 20 minutes. Run faster than you did on this 28-38 min run.
Train according to what you plan to race, not what something says on a treadmill.
Alan