167728470 has 192 divisors, whose sum is σ = 515725056. Its totient is φ = 34594560.

The previous prime is 167728459. The next prime is 167728481. The reversal of 167728470 is 74827761.

It is an interprime number because it is at equal distance from previous prime (167728459) and next prime (167728481).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1280305 + ... + 1280435.

It is an arithmetic number, because the mean of its divisors is an integer number (2686068).

Almost surely, 2^167728470 is an apocalyptic number.

167728470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 167728470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257862528).

167728470 is an abundant number, since it is smaller than the sum of its proper divisors (347996586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167728470 is a wasteful number, since it uses less digits than its factorization.

167728470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 167728470 is about 12951.0026638867. The cubic root of 167728470 is about 551.4874008958.

The spelling of 167728470 in words is "one hundred sixty-seven million, seven hundred twenty-eight thousand, four hundred seventy".