36109728 has 72 divisors (see below), whose sum is σ = 108108000. Its totient is φ = 11401344.

The previous prime is 36109693. The next prime is 36109741. The reversal of 36109728 is 82790163.

36109728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 36109692 and 36109701.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2173 + ... + 8771.

It is an arithmetic number, because the mean of its divisors is an integer number (1501500).

Almost surely, 2^36109728 is an apocalyptic number.

36109728 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 36109728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54054000).

36109728 is an abundant number, since it is smaller than the sum of its proper divisors (71998272).

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

36109728 is a wasteful number, since it uses less digits than its factorization.

36109728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 36109728 is about 6009.1370428706. The cubic root of 36109728 is about 330.5278604305.

The spelling of 36109728 in words is "thirty-six million, one hundred nine thousand, seven hundred twenty-eight".