171224928 has 120 divisors (see below), whose sum is σ = 575566992. Its totient is φ = 48916224.

The previous prime is 171224917. The next prime is 171224947. The reversal of 171224928 is 829422171.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 171224892 and 171224901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13426 + ... + 22862.

Almost surely, 2^171224928 is an apocalyptic number.

171224928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171224928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287783496).

171224928 is an abundant number, since it is smaller than the sum of its proper divisors (404342064).

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

171224928 is an equidigital number, since it uses as much as digits as its factorization.

171224928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9449 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 171224928 is about 13085.2943413589. The cubic root of 171224928 is about 555.2931687055.

The spelling of 171224928 in words is "one hundred seventy-one million, two hundred twenty-four thousand, nine hundred twenty-eight".