How does this work? Is 28-140mm a wider lens than 36-180mm? What should I look for when buying a camera with a wide angle lens?
I think most of the uncertainty has been answered but just to clarify the difference between "zoom" and "magnification".
Zoom is the ratio between the longest and shortest focal lengths of a zoom lens. So a 36-180mm lens will have a 5X zoom 180/36 = 5
Magnification is the relative enlargement of the image projected onto the sensor/film compared to a 50mm lens (the 50mm lens has the same approximate perspective and magnification as the human eye, but not field of view). Therefore the 36-180mm has a higher magnification ratio as calculated by 180/50 = 3.6 whereas the 28-140mm is only 2.8.
The 28-140mm is therefore the wider lens but it has a lower maginification at the long end (140mm) compared to the 36-180mm.
I assume this is a compact digital camera zoom lens and caution must be taken when comparing different compacts. The actual zoom focal length is most likely 5-25mm and the "relative to 35mm film zoom ratio" is calculated from the sensor size. Many compacts have different sensor sizes and different manufacturers seem to calculate the 35mm equivalent zoom in different ways... Wider lenses on compacts are certainly handy but they often suffer from poor resolution the wider they are so in the end it might be a better idea to purchase a compact camera with a slightly narrow min focal length (36 instead of 28mm) for this reason.