36035928 has 112 divisors (see below), whose sum is σ = 104665680. Its totient is φ = 11617344.

The previous prime is 36035921. The next prime is 36035953. The reversal of 36035928 is 82953063.

36035928 is a `hidden beast` number, since 3 + 60 + 3 + 592 + 8 = 666.

36035928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 36035892 and 36035901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36035921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 215701 + ... + 215867.

It is an arithmetic number, because the mean of its divisors is an integer number (934515).

Almost surely, 2^36035928 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 36035928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52332840).

36035928 is an abundant number, since it is smaller than the sum of its proper divisors (68629752).

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

36035928 is a wasteful number, since it uses less digits than its factorization.

36035928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 36035928 is about 6002.9932533695. The cubic root of 36035928 is about 330.3025324814.

It can be divided in two parts, 36035 and 928, that added together give a palindrome (36963).

The spelling of 36035928 in words is "thirty-six million, thirty-five thousand, nine hundred twenty-eight".