36253728 has 144 divisors (see below), whose sum is σ = 120556800. Its totient is φ = 10329984.

The previous prime is 36253709. The next prime is 36253733. The reversal of 36253728 is 82735263.

36253728 is a `hidden beast` number, since 3 + 625 + 3 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 36253692 and 36253701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98601 + ... + 98967.

It is an arithmetic number, because the mean of its divisors is an integer number (837200).

Almost surely, 2^36253728 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 36253728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60278400).

36253728 is an abundant number, since it is smaller than the sum of its proper divisors (84303072).

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

36253728 is a wasteful number, since it uses less digits than its factorization.

36253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 36253728 is about 6021.1068749857. The cubic root of 36253728 is about 330.9666423122.

The spelling of 36253728 in words is "thirty-six million, two hundred fifty-three thousand, seven hundred twenty-eight".