36666728 has 32 divisors (see below), whose sum is σ = 79305600. Its totient is φ = 15567552.

The previous prime is 36666727. The next prime is 36666731. The reversal of 36666728 is 82766663.

It is not an unprimeable number, because it can be changed into a prime (36666727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3101 + ... + 9107.

It is an arithmetic number, because the mean of its divisors is an integer number (2478300).

Almost surely, 2^36666728 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 36666728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39652800).

36666728 is an abundant number, since it is smaller than the sum of its proper divisors (42638872).

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

36666728 is a wasteful number, since it uses less digits than its factorization.

36666728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6125 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 36666728 is about 6055.3057726262. The cubic root of 36666728 is about 332.2186830411.

The spelling of 36666728 in words is "thirty-six million, six hundred sixty-six thousand, seven hundred twenty-eight".