Nikon 28-300 is made in Thailand, but it can't be found as a fake in official website.
Nikon 28-300 lens has a unique appearance style, so it is almost impossible to forge a trademark except for the lens of a deputy factory. However, the appearance of the deputy factory lens is different, which is easy to distinguish. Your lens is not "fake" like the picture below. In addition, Nikon official website has no option to find the factory number. Digital cameras can register products by model and factory number. What cannot be registered may be parallel imports, and lenses do not support product registration. You didn't mean that when you said you couldn't find it. The lens is not fragile, and it is not covered by the warranty if it is broken. As long as the function is normal, please feel free to use it and don't worry.