A bit more detail on your original question.
Since TR4 engine numbers are general a bit higher then commission numbers by up to a few hundred, the 1962 TR4 would have engine numbers up to the CT18500E to CT18700E-ish range since the last 62 commission number is approximately CT18403. Then reason for the normal spread in Commission numbers verses engine numbers is due to the fact that Triumph supplied engines to other manufactures like Morgan so more engines were made TR4 cars in the numbering sequence.
You are looking at 1964 TR4 and engine. 1964 commission number range is approximately CT28486 to CT40000 with engine numbers slightly higher than that by up to a few hundred. In fact you appear to be at the later end of 1964.
A "British Motor Industry Heritage Trust" certificate would verify this and other interesting historic information for your car.
https://www.heritage-motor-centre.c...tificates/car-traced-with-chassis-number.html
I found out my 1962 TR4 was originally imported to Canada to include the ship it came in on with one of these. It has an engine number that is over 200 lower than the commission number and a body number that is over 500 higher then the commission number, and this document verified that was correct. The number ranges on my TR4 did not seem correct when I bought the car back in 2008 and I thought it could be a franked-TR4, but it was not.