36296128 has 84 divisors (see below), whose sum is σ = 81752440. Its totient is φ = 15966720.

The previous prime is 36296119. The next prime is 36296129. The reversal of 36296128 is 82169263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36296129) 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 11 ways as a sum of consecutive naturals, for example, 332938 + ... + 333046.

Almost surely, 2^36296128 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 36296128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40876220).

36296128 is an abundant number, since it is smaller than the sum of its proper divisors (45456312).

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

36296128 is a wasteful number, since it uses less digits than its factorization.

36296128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 36296128 is about 6024.6267934205. The cubic root of 36296128 is about 331.0956177240.

The spelling of 36296128 in words is "thirty-six million, two hundred ninety-six thousand, one hundred twenty-eight".