The Sun rotates on its axis once every 27 days, but because the Sun isn’t a solid body (it’s a ball of gas and plasma), different parts of the Sun rotate at different speeds. This is because the gas and plasma at the Sun's equator are hotter and less dense than the gas and plasma at the Sun's poles, so they rotate faster.
That even goes on with so-called rocky planets, like Earth. The inner core of Earth rotates at a different speed from the surface rotation. The Earth's inner core rotates faster than the Earth's surface because it is not affected by the friction of the Earth's mantle.
In general, however, on average, it takes 27 days for the surface of the Sun to rotate once around it’s axis. Of course, the Sun is bright and can’t be viewed directly with the human eye, so we don’t see it rotating without the proper telescopic filters to allow us to see.
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