Upon the death of an incompetent person over whom the State Department of State Hospitals has obtained jurisdiction pursuant to Section 7284, the department may make proper disposition of the remains, and pay for the disposition of the remains together with any indebtedness existing at the time of the death of the person from the assets of the guardianship or conservatorship estate, and thereupon it shall file its final account with the court or otherwise close its administration of the estate of the person.