36249728 has 32 divisors (see below), whose sum is σ = 72678060. Its totient is φ = 18009088.

The previous prime is 36249709. The next prime is 36249749. The reversal of 36249728 is 82794263.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36096064 + 153664 = 6008^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21326 + ... + 22962.

Almost surely, 2^36249728 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 36249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36339030).

36249728 is an abundant number, since it is smaller than the sum of its proper divisors (36428332).

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

36249728 is a wasteful number, since it uses less digits than its factorization.

36249728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1812 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 36249728 is about 6020.7747009833. The cubic root of 36249728 is about 330.9544696306.

The spelling of 36249728 in words is "thirty-six million, two hundred forty-nine thousand, seven hundred twenty-eight".