Axis Bank Ltd said on Friday it will raise 116.26 billion rupees ($1.78 billion) by selling shares and convertible warrants to investors including Bain Capital and top Indian insurer Life Insurance Corp. Axis Bank said in a filing that its board had approved selling up to 172.63 million shares on a preferential basis at 525 rupees each and 45.36 million convertible warrants at 565 rupees each.