181728096 has 192 divisors, whose sum is σ = 564350976. Its totient is φ = 50585600.

The previous prime is 181728091. The next prime is 181728101. The reversal of 181728096 is 690827181.

181728096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (181728091) and next prime (181728101).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181728091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951361 + ... + 951551.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 2^181728096 is an apocalyptic number.

181728096 is a gapful number since it is divisible by the number (16) 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 181728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282175488).

181728096 is an abundant number, since it is smaller than the sum of its proper divisors (382622880).

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

181728096 is a wasteful number, since it uses less digits than its factorization.

181728096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 181728096 is about 13480.6563638422. The cubic root of 181728096 is about 566.4227551584.

The spelling of 181728096 in words is "one hundred eighty-one million, seven hundred twenty-eight thousand, ninety-six".