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No offense to the moon but I could go way further than that in 28 days.
Maybe in a couple of months, but it really lets its fitness go in the off-season.
Not taking into account movement forward/backward, and with an admittedly very crude measurement method, the total path is roughly 174,875 km. If you took a 7.4 hr flight every day for 28 days straight*, you could possibly beat the moon. Probably give a Taylor Swift a run for her money, too.
*If you only did "work days", you'd have to fly 10.3 hours a day.