1728900 has 108 divisors (see below), whose sum is σ = 5788692. Its totient is φ = 430080.

The previous prime is 1728889. The next prime is 1728907. The reversal of 1728900 is 98271.

It can be written as a sum of positive squares in 6 ways, for example, as 171396 + 1557504 = 414^2 + 1248^2 .

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1728907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15244 + ... + 15356.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

2^1728900 is an apocalyptic number.

1728900 is a gapful number since it is divisible by the number (10) 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 1728900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894346).

1728900 is an abundant number, since it is smaller than the sum of its proper divisors (4059792).

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

1728900 is a wasteful number, since it uses less digits than its factorization.

1728900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1728900 is about 1314.8764200487. The cubic root of 1728900 is about 120.0208297175.

It can be divided in two parts, 1728 and 900, that added together give a triangular number (2628 = T₇₂).

The spelling of 1728900 in words is "one million, seven hundred twenty-eight thousand, nine hundred".