36179728 has 60 divisors (see below), whose sum is σ = 78435084. Its totient is φ = 16070400.

The previous prime is 36179699. The next prime is 36179729. The reversal of 36179728 is 82797163.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2214144 + 33965584 = 1488^2 + 5828^2 .

It is not an unprimeable number, because it can be changed into a prime (36179729) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199798 + ... + 199978.

Almost surely, 2^36179728 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 36179728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39217542).

36179728 is an abundant number, since it is smaller than the sum of its proper divisors (42255356).

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

36179728 is a wasteful number, since it uses less digits than its factorization.

36179728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 227 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 36179728 is about 6014.9586864749. The cubic root of 36179728 is about 330.7413025968.

It can be divided in two parts, 361 and 79728, that added together give a square (80089 = 283²).

The spelling of 36179728 in words is "thirty-six million, one hundred seventy-nine thousand, seven hundred twenty-eight".