171961728 has 32 divisors (see below), whose sum is σ = 456774360. Its totient is φ = 57320448.

The previous prime is 171961721. The next prime is 171961763. The reversal of 171961728 is 827169171.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 171961728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171961721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223525 + ... + 224292.

Almost surely, 2^171961728 is an apocalyptic number.

It is an amenable number.

171961728 is an abundant number, since it is smaller than the sum of its proper divisors (284812632).

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

171961728 is an equidigital number, since it uses as much as digits as its factorization.

171961728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447834 (or 447822 counting only the distinct ones).

The product of its digits is 42336, while the sum is 42.

The square root of 171961728 is about 13113.4178611070. The cubic root of 171961728 is about 556.0885251450.

It can be divided in two parts, 17196172 and 8, that added together give a triangular number (17196180 = T₅₈₆₄).

The spelling of 171961728 in words is "one hundred seventy-one million, nine hundred sixty-one thousand, seven hundred twenty-eight".