18728064 has 64 divisors (see below), whose sum is σ = 55284000. Its totient is φ = 6241536.

The previous prime is 18728063. The next prime is 18728069. The reversal of 18728064 is 46082781.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (18728063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 747 + ... + 6165.

Almost surely, 2^18728064 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 18728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27642000).

18728064 is an abundant number, since it is smaller than the sum of its proper divisors (36555936).

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

18728064 is an equidigital number, since it uses as much as digits as its factorization.

18728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18728064 is about 4327.5933265500. The cubic root of 18728064 is about 265.5609997412.

The spelling of 18728064 in words is "eighteen million, seven hundred twenty-eight thousand, sixty-four".