171000928 has 48 divisors (see below), whose sum is σ = 387846144. Its totient is φ = 72696960.

The previous prime is 171000913. The next prime is 171000959. The reversal of 171000928 is 829000171.

It is a super-2 number, since 2×171000928² = 58482634753722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 171000896 and 171000905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25443 + ... + 31453.

It is an arithmetic number, because the mean of its divisors is an integer number (8080128).

Almost surely, 2^171000928 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 171000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193923072).

171000928 is an abundant number, since it is smaller than the sum of its proper divisors (216845216).

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

171000928 is a wasteful number, since it uses less digits than its factorization.

171000928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 171000928 is about 13076.7323135407. The cubic root of 171000928 is about 555.0509143562.

The spelling of 171000928 in words is "one hundred seventy-one million, nine hundred twenty-eight", and thus it is an aban number.