36839328 has 72 divisors (see below), whose sum is σ = 102156768. Its totient is φ = 11622528.

The previous prime is 36839321. The next prime is 36839329. The reversal of 36839328 is 82393863.

It is a self number, because there is not a number n which added to its sum of digits gives 36839328.

It is not an unprimeable number, because it can be changed into a prime (36839321) 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, 34125 + ... + 35187.

It is an arithmetic number, because the mean of its divisors is an integer number (1418844).

Almost surely, 2^36839328 is an apocalyptic number.

36839328 is a gapful number since it is divisible by the number (38) 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 36839328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51078384).

36839328 is an abundant number, since it is smaller than the sum of its proper divisors (65317440).

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

36839328 is a wasteful number, since it uses less digits than its factorization.

36839328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1087 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 36839328 is about 6069.5410040628. The cubic root of 36839328 is about 332.7391476818.

The spelling of 36839328 in words is "thirty-six million, eight hundred thirty-nine thousand, three hundred twenty-eight".