String sorting is a fundamental kernel of string matching and database index construction; yet, it has not been studied as extensively as fixed-length keys sorting. Because processing variable-length keys in hardware is challenging, it is no surprise that no hardware-accelerated string sorters have been proposed yet. In this paper, we present Parallel Hybrid Super Scalar String Sample Sort (pHS(5)) on Intel HARPv2, a heterogeneous CPU-FPGA system with a server-grade CPU. Our pHS(5) extends pS(5), the state-of-the-art string sorting algorithm for multi-core shared memory CPUs, by adding multiple processing elements (PEs) on the FPGA. Each PE accelerates one instance of the most effectively parallelizable among the dominant kernels of pS(5) by up to 33% compared to a single Intel Xeon Broadwell core despite a clock frequency that is 17 times slower. Furthermore, we extended the job scheduling mechanism of pS(5) to schedule the accelerable kernel not only among available CPU cores but also on our PEs, while retaining the complex high-level control flow and the sorting of the smaller data sets on the CPU. Overall, we accelerate the entire algorithm by up to 10% with respect to the 28-thread software baseline running on the Xeon processor and by up to 36% at lower thread counts. Finally, we generalize our results assuming pS(5) as representative of software that is heavily optimized for modern multi-core CPUs and investigate the performance and energy advantage that an FPGA in a datacenter setting can offer to regular RTL users compared to additional CPU cores.