36115728 has 80 divisors (see below), whose sum is σ = 103285056. Its totient is φ = 10782720.

The previous prime is 36115691. The next prime is 36115753. The reversal of 36115728 is 82751163.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38076 + ... + 39012.

Almost surely, 2^36115728 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 36115728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51642528).

36115728 is an abundant number, since it is smaller than the sum of its proper divisors (67169328).

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

36115728 is a wasteful number, since it uses less digits than its factorization.

36115728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 36115728 is about 6009.6362618714. The cubic root of 36115728 is about 330.5461662763.

It can be divided in two parts, 3611 and 5728, that added together give a palindrome (9339).

The spelling of 36115728 in words is "thirty-six million, one hundred fifteen thousand, seven hundred twenty-eight".