171252928 has 224 divisors, whose sum is σ = 468172800. Its totient is φ = 60134400.

The previous prime is 171252901. The next prime is 171252979. The reversal of 171252928 is 829252171.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2902563 + ... + 2902621.

Almost surely, 2^171252928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086400).

171252928 is an abundant number, since it is smaller than the sum of its proper divisors (296919872).

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

171252928 is a wasteful number, since it uses less digits than its factorization.

171252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its digits is 20160, while the sum is 37.

The square root of 171252928 is about 13086.3642009536. The cubic root of 171252928 is about 555.3234356405.

The spelling of 171252928 in words is "one hundred seventy-one million, two hundred fifty-two thousand, nine hundred twenty-eight".