A chargeable battery temperature estimation apparatus estimating an internal temperature of a chargeable battery includes a processor performing when executing the instructions stored in a memory: acquiring a detected current value output from a current sensor configured to detect a current flowing in the chargeable battery; calculating a heating value on the basis of the detected current value, the heating value estimating heat generated inside the chargeable battery; acquiring a detected external temperature value output from a temperature sensor configured to detect an external temperature of the chargeable battery; estimating the internal temperature of the chargeable battery based on the calculated heating value and the detected temperature value; and outputting the estimated internal temperature.