36728208 has 160 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 10857600.

The previous prime is 36728207. The next prime is 36728221. The reversal of 36728208 is 80282763.

It is a happy number.

It is a super-2 number, since 2×36728208² = 2697922525782528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36728207) 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, 280303 + ... + 280433.

It is an arithmetic number, because the mean of its divisors is an integer number (736560).

Almost surely, 2^36728208 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 36728208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

36728208 is an abundant number, since it is smaller than the sum of its proper divisors (81121392).

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

36728208 is a wasteful number, since it uses less digits than its factorization.

36728208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36728208 is about 6060.3801860939. The cubic root of 36728208 is about 332.4042590913.

The spelling of 36728208 in words is "thirty-six million, seven hundred twenty-eight thousand, two hundred eight".