36311328 has 60 divisors (see below), whose sum is σ = 106798230. Its totient is φ = 12102912.

The previous prime is 36311321. The next prime is 36311329. The reversal of 36311328 is 82311363.

It is a happy number.

36311328 is a `hidden beast` number, since 3 + 631 + 1 + 3 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26501904 + 9809424 = 5148^2 + 3132^2 .

It is a super-2 number, since 2×36311328² = 2637025082247168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (36311321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4413 + ... + 9596.

Almost surely, 2^36311328 is an apocalyptic number.

It is an amenable number.

36311328 is an abundant number, since it is smaller than the sum of its proper divisors (70486902).

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

36311328 is a wasteful number, since it uses less digits than its factorization.

36311328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031 (or 14014 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 36311328 is about 6025.8881503061. Note that the first 3 decimals coincide. The cubic root of 36311328 is about 331.1418297335.

It can be divided in two parts, 36 and 311328, that added together give a square (311364 = 558²).

The spelling of 36311328 in words is "thirty-six million, three hundred eleven thousand, three hundred twenty-eight".