Multi-piece solid golf ball

A multi-piece solid golf ball comprising a core, an intermediate layer and a cover, wherein the sphere obtained by encasing the core with the intermediate layer (intermediate layer-encased sphere) has a higher surface hardness than the ball;

• and the core has a hardness profile in which, letting Cc be the Shore C hardness at a center of the core and Cs be the Shore C hardness at the core surface, the hardness difference between the core surface and center (Cs−Cc), expressed in terms of Shore C hardness, is at least 28 and, letting CM be the Shore C hardness at a midpoint M between the core center and surface, CM+2.5, CM+5.0 and to CM+7.5 be the Shore C hardnesses at, respectively, positions 2.5 mm, 5.0 mm and 7.5 mm from the midpoint M toward the core surface side, and CM−2.5, CM−5.0 and CM−7.5 be the Shore C hardnesses at, respectively, positions 2.5 mm, 5.0 mm and 7.5 mm from the midpoint M toward the core center side, the surface areas A to F defined as follows
• surface area A:
• ½×2.5×(CM−5.0−CM−7.5),
• surface area B:
• ½×2.5×CM−5.0),
• surface area C:
• ½×2.5×(CM−CM−2.5),
• surface area D:
• ½×2.5×(CM+2.5−CM),
• surface area E:
• ½×2.5×(CM+5.0−CM+2.5),
• surface area F:
• ½×2.5×(CM+7.5−CM+5.0),
• satisfy the condition
• (surface area D+surface area E)−(surface area A+surface area B+surface area C)≥5.