36728496 has 120 divisors (see below), whose sum is σ = 119159040. Its totient is φ = 10343808.

The previous prime is 36728491. The next prime is 36728509. The reversal of 36728496 is 69482763.

36728496 is a `hidden beast` number, since 367 + 284 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36728491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83445 + ... + 83883.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 2^36728496 is an apocalyptic number.

36728496 is a gapful number since it is divisible by the number (36) 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 36728496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59579520).

36728496 is an abundant number, since it is smaller than the sum of its proper divisors (82430544).

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

36728496 is a wasteful number, since it uses less digits than its factorization.

36728496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 36728496 is about 6060.4039469329. The cubic root of 36728496 is about 332.4051279255.

The spelling of 36728496 in words is "thirty-six million, seven hundred twenty-eight thousand, four hundred ninety-six".