36181728 has 192 divisors, whose sum is σ = 119024640. Its totient is φ = 10730880.

The previous prime is 36181727. The next prime is 36181751. The reversal of 36181728 is 82718163.

36181728 is a `hidden beast` number, since 3 + 618 + 17 + 28 = 666.

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

Its product of digits (16128) is a multiple of the sum of its prime divisors (63).

It is a junction number, because it is equal to n+sod(n) for n = 36181692 and 36181701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36181727) 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, 769801 + ... + 769847.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 2^36181728 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 36181728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59512320).

36181728 is an abundant number, since it is smaller than the sum of its proper divisors (82842912).

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

36181728 is an equidigital number, since it uses as much as digits as its factorization.

36181728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 63 counting only the distinct ones).

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

The square root of 36181728 is about 6015.1249363583. The cubic root of 36181728 is about 330.7473968975.

The spelling of 36181728 in words is "thirty-six million, one hundred eighty-one thousand, seven hundred twenty-eight".