171109728 has 144 divisors (see below), whose sum is σ = 511567056. Its totient is φ = 54190080.

The previous prime is 171109721. The next prime is 171109753. The reversal of 171109728 is 827901171.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 171109692 and 171109701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171109721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 507576 + ... + 507912.

It is an arithmetic number, because the mean of its divisors is an integer number (3552549).

Almost surely, 2^171109728 is an apocalyptic number.

171109728 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 171109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255783528).

171109728 is an abundant number, since it is smaller than the sum of its proper divisors (340457328).

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

171109728 is a wasteful number, since it uses less digits than its factorization.

171109728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 171109728 is about 13080.8917127236. The cubic root of 171109728 is about 555.1686071606.

The spelling of 171109728 in words is "one hundred seventy-one million, one hundred nine thousand, seven hundred twenty-eight".