36864828 has 288 divisors, whose sum is σ = 133468160. Its totient is φ = 8553600.

The previous prime is 36864809. The next prime is 36864847. The reversal of 36864828 is 82846863.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36864809) and next prime (36864847).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1189173 + ... + 1189203.

Almost surely, 2^36864828 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 36864828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66734080).

36864828 is an abundant number, since it is smaller than the sum of its proper divisors (96603332).

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

36864828 is a wasteful number, since it uses less digits than its factorization.

36864828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 36864828 is about 6071.6412937525. The cubic root of 36864828 is about 332.8159034367.

The spelling of 36864828 in words is "thirty-six million, eight hundred sixty-four thousand, eight hundred twenty-eight".