This article presents a comprehensive review on the feasibility and challenges of millimeter wave in emerging fifth generation (5G) mobile communication. 5G, a multigigabit wireless network is the next generation wireless communication network. The mmWave cellular system which operates in the 30-300 GHz band has been proposed for use as the propagation channel. Its large bandwidth potential makes it a candidate for the next-generation wireless communication system which is believed to support data rates of multiple Gb/s. High frequency bands such as mmWave have channel impairments. These impairments are challenges that are necessary to be properly understood. Employing mmWave as a propagation channel requires dealing with these challenges which this paper is aimed at reviewing. One aim of the work is to discuss these challenges in a more elaborate manner using simple mathematical equations and graphics to ensure clarity. To achieve this, current related works were studied. Challenges and solutions are identified and discussed. Suggested research directions for future work are also presented. One is developing suitable electronic such as fast analog-to-digital (ADC) and digital-to-analog (DAC) systems necessary for the transmitter/receiver (TX/RX) system.