NEW YORK, April 14 (Reuters) - Cybersecurity software firm Rubrik, which counts Microsoft among its prominent investors, is aiming to raise as much as $713 million in its initial public offering, according to a person familiar with the matter.

Palo Alto, California-based Rubrik is planning to sell 23 million shares priced between $28 and $31 per share, the source said on condition of anonymity because the discussions are confidential.

At the upper end of the range, Rubrik would be valued at about $5.4 billion, the source added, cautioning the company's plans are subject to market conditions and could change.

Rubrik did not immediately respond to a request for comment.

Rubrik's plans to go public come as the U.S. IPO market is showing early signs of a rebound after stock market launches froze up during most of 2022 and 2023.

Following the successful stock market flotations of social media platform Reddit and semiconductor connectivity firm Astera Labs, several companies including Cato Networks and Synechron have kicked off preparations to go public. (Reporting by Echo Wang in New York; Editing by Anirban Sen and Jamie Freed)