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28 units of Rum is 1568kcal.
It'll be slightly more than that, my figures were more aimed at lager which is a bit bulkier.
The alcohol in 28 units of rum (or any alcoholic drink) will account for 1568kcal (alcohol is 56kcal per unit) but the rest of the liquid that isn't alcohol is unlikely to be completely calorie free.
Looking online I can find stats for some 80 proof rum (40% ABV) which is 231kcal per 100ml. So that's 4 units (40ml alcohol). So 28 units will be 7 times as many calories, 231*7 = 1617kcal.
Greenbank
Arawn
28 units of Rum is 1568kcal.