36623328 has 48 divisors (see below), whose sum is σ = 109872000. Its totient is φ = 10463616.

The previous prime is 36623311. The next prime is 36623333. The reversal of 36623328 is 82332663.

36623328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26578 + ... + 27921.

It is an arithmetic number, because the mean of its divisors is an integer number (2289000).

Almost surely, 2^36623328 is an apocalyptic number.

It is an amenable number.

36623328 is an abundant number, since it is smaller than the sum of its proper divisors (73248672).

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

36623328 is a wasteful number, since it uses less digits than its factorization.

36623328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54519 (or 54511 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 36623328 is about 6051.7210775118. The cubic root of 36623328 is about 332.0875561400.

The spelling of 36623328 in words is "thirty-six million, six hundred twenty-three thousand, three hundred twenty-eight".