Linfield to start cup defence away to Dundela
Linfield will begin their defence of the BetMcLean Cup away to Championship side Dundela on Tuesday, 1 October.
Portadown, who Linfield defeated in last season's decider at Windsor Park, will face Ards.
Irish Premiership champions Larne travel H&W Welders, while Cliftonville will visit Limavady United and Crusaders take on Ballyclare Comrades.
Loughgall face a derby with Armagh City while Coleraine travel to Ballinamallard United, Glentoran host Dergview and Dungannon Swifts face Portstewart.
Carrick Rangers host Queen's University, Glenavon travel to Newington and Rathfriland Rangers will look to cause a shock against Ballymena United.
Last-32 draw:
Loughgall v Armagh City
Dundela v Linfield
Ballinamallard United v Coleraine
HW Welders v Larne
Limavady United v Cliftonville
Dungannon Swifts v Portstewart
Bangor v Warrenpoint Town
Ballymacash Rangers v Institute
Carrick Rangers v Queens University
Ballyclare Comrades v Crusaders
Glentoran v Dergview
Newington v Glenavon
Portadown v Ards
Moyola Park v Annagh United
Dollingstown v Newry City
Rathfriland Rangers v Ballymena United