1728401166 has 96 divisors (see below), whose sum is σ = 4015484928. Its totient is φ = 556839360.

The previous prime is 1728401161. The next prime is 1728401173. The reversal of 1728401166 is 6611048271.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1728401166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728401161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2530261 + ... + 2530943.

It is an arithmetic number, because the mean of its divisors is an integer number (41827968).

Almost surely, 2^1728401166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728401166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007742464).

1728401166 is an abundant number, since it is smaller than the sum of its proper divisors (2287083762).

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

1728401166 is a wasteful number, since it uses less digits than its factorization.

1728401166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1728401166 is about 41574.0443786745. The cubic root of 1728401166 is about 1200.0928553147.

The spelling of 1728401166 in words is "one billion, seven hundred twenty-eight million, four hundred one thousand, one hundred sixty-six".