Problem $4$ and $5-2$ Future Value and Number of Annuity Payments

Your client has been given a trust fund valued at $$1\mathrm{.}07$ million. He cannot access the money until he turns $65$ years old, which is in $30$ years. At that time, he can withdraw $$28,500$ per month.

If the trust fund is invested at a $5\mathrm{.}0$ percent rate, how many months will it last your client once he starts to withdraw the money?

Note: Assume annual compounding. Do not round intermediate calculations and round your final answer to $2$ decimal places.