36493728 has 48 divisors (see below), whose sum is σ = 96808320. Its totient is φ = 12036096.

The previous prime is 36493711. The next prime is 36493739. The reversal of 36493728 is 82739463.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36493728.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7353 + ... + 11271.

It is an arithmetic number, because the mean of its divisors is an integer number (2016840).

Almost surely, 2^36493728 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 36493728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48404160).

36493728 is an abundant number, since it is smaller than the sum of its proper divisors (60314592).

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

36493728 is a wasteful number, since it uses less digits than its factorization.

36493728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4029 (or 4021 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 36493728 is about 6041.0038900832. The cubic root of 36493728 is about 331.6953706404.

The spelling of 36493728 in words is "thirty-six million, four hundred ninety-three thousand, seven hundred twenty-eight".