36828432 has 100 divisors (see below), whose sum is σ = 107863756. Its totient is φ = 12130560.

The previous prime is 36828419. The next prime is 36828433. The reversal of 36828432 is 23482863.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 32764176 = 2016^2 + 5724^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (36828433) 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 19 ways as a sum of consecutive naturals, for example, 203382 + ... + 203562.

Almost surely, 2^36828432 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 36828432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53931878).

36828432 is an abundant number, since it is smaller than the sum of its proper divisors (71035324).

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

36828432 is a wasteful number, since it uses less digits than its factorization.

36828432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 343 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 36828432 is about 6068.6433409783. The cubic root of 36828432 is about 332.7063395982.

The spelling of 36828432 in words is "thirty-six million, eight hundred twenty-eight thousand, four hundred thirty-two".