36008028 has 72 divisors (see below), whose sum is σ = 106474368. Its totient is φ = 10045728.

The previous prime is 36008017. The next prime is 36008029. The reversal of 36008028 is 82080063.

It is a junction number, because it is equal to n+sod(n) for n = 36007992 and 36008010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36008029) 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 23 ways as a sum of consecutive naturals, for example, 9175 + ... + 12497.

Almost surely, 2^36008028 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 36008028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53237184).

36008028 is an abundant number, since it is smaller than the sum of its proper divisors (70466340).

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

36008028 is a wasteful number, since it uses less digits than its factorization.

36008028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3383 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 36008028 is about 6000.6689627074. The cubic root of 36008028 is about 330.2172673911.

It can be divided in two parts, 3600 and 8028, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 36008028 in words is "thirty-six million, eight thousand, twenty-eight".