1728106812 has 120 divisors (see below), whose sum is σ = 4610390400. Its totient is φ = 564339744.

The previous prime is 1728106789. The next prime is 1728106837. The reversal of 1728106812 is 2186018271.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4813489 + ... + 4813847.

It is an arithmetic number, because the mean of its divisors is an integer number (38419920).

Almost surely, 2^1728106812 is an apocalyptic number.

1728106812 is a gapful number since it is divisible by the number (12) 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 1728106812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305195200).

1728106812 is an abundant number, since it is smaller than the sum of its proper divisors (2882283588).

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

1728106812 is a wasteful number, since it uses less digits than its factorization.

1728106812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1728106812 is about 41570.5041104868. The cubic root of 1728106812 is about 1200.0247244906.

The spelling of 1728106812 in words is "one billion, seven hundred twenty-eight million, one hundred six thousand, eight hundred twelve".