1728173088 has 72 divisors (see below), whose sum is σ = 4924565100. Its totient is φ = 574877184.

The previous prime is 1728173087. The next prime is 1728173099. The reversal of 1728173088 is 8803718271.

It can be written as a sum of positive squares in 2 ways, for example, as 1695133584 + 33039504 = 41172^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1728173081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 140698 + ... + 152486.

Almost surely, 2^1728173088 is an apocalyptic number.

1728173088 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 1728173088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462282550).

1728173088 is an abundant number, since it is smaller than the sum of its proper divisors (3196392012).

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

1728173088 is a wasteful number, since it uses less digits than its factorization.

1728173088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12314 (or 12303 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 1728173088 is about 41571.3012545915. The cubic root of 1728173088 is about 1200.0400653290.

It can be divided in two parts, 172817308 and 8, that added together give a square (172817316 = 13146²).

The spelling of 1728173088 in words is "one billion, seven hundred twenty-eight million, one hundred seventy-three thousand, eighty-eight".