In an ideal world you'd put solder paste on these, using a little foot-switch controlled needle dispenser, then put them through a temperature controlled soldering oven of one type or another.
In a not so ideal world, you could paste them, then heat the paste with a normal iron tip (which works quite well for small quantitiy use) to solder it, or heat the paste with a hot air soldering "iron".
If you can't get paste so easily then normal* solder and a fine tipped iron will work fairly easily for SOIC (1.28mm pitch), make sure you've got comfortable magnification to work under. I'd think nothing of using that method for one such 28pin SOIC chip, but for many it could be a bit time consuming and tiring.
*Unless you're making something which is going in to a production device where the presence of lead is forbidden, I'd always recommend leaded 60/40 (63/37 is virtually identical too) rosin cored solder from any decent brand. And you'll want the finest type, 0.3 to 0.4mm diameter (different sellers do 0.3/0.32/0.35/0.37/0.38/0.4, use whichever of the sizes you can get) solder wire if I remember rightly. I don't do anything myself where I have to suffer lead-free solders, so can't recommend types amongst them, but if you're using those, you'll still want the 0.3 to 0.4mm sizes though.