1728936 has 96 divisors (see below), whose sum is σ = 5335200. Its totient is φ = 501120.

The previous prime is 1728911. The next prime is 1728949. The reversal of 1728936 is 6398271.

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

Its product of digits (18144) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1728936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29275 + ... + 29333.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2^1728936 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 1728936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667600).

1728936 is an abundant number, since it is smaller than the sum of its proper divisors (3606264).

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

1728936 is a wasteful number, since it uses less digits than its factorization.

1728936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 1728936 is about 1314.8901094768. The cubic root of 1728936 is about 120.0216627558.

The spelling of 1728936 in words is "one million, seven hundred twenty-eight thousand, nine hundred thirty-six".