$19.$ Disturbed Corporation needs to raise $$56$ million to fund a new project. The company will sell shares at a price of $$23\mathrm{.}50$ in a general cash offer and the company's underwriters will charge a spread of $6\mathrm{.}5$ percent. The direct flotation costs associated with the issue are $$675,000$ and the indirect costs are $$425,000.$ How many shares need to be sold?