1728084 has 48 divisors (see below), whose sum is σ = 4390848. Its totient is φ = 526848.

The previous prime is 1728071. The next prime is 1728091. The reversal of 1728084 is 4808271.

It is a super-2 number, since 2×1728084² = 5972548622112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8674 + ... + 8870.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

2^1728084 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 1728084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424).

1728084 is an abundant number, since it is smaller than the sum of its proper divisors (2662764).

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

1728084 is a wasteful number, since it uses less digits than its factorization.

1728084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 1728084 is about 1314.5660881066. The cubic root of 1728084 is about 120.0019444129.

It can be divided in two parts, 172 and 8084, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 1728084 in words is "one million, seven hundred twenty-eight thousand, eighty-four".