18728000 has 56 divisors (see below), whose sum is σ = 46399704. Its totient is φ = 7488000.

The previous prime is 18727991. The next prime is 18728009. The reversal of 18728000 is 82781.

It is an interprime number because it is at equal distance from previous prime (18727991) and next prime (18728009).

It can be written as a sum of positive squares in 4 ways, for example, as 341056 + 18386944 = 584^2 + 4288^2 .

It is not an unprimeable number, because it can be changed into a prime (18728009) 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, 6830 + ... + 9170.

Almost surely, 2^18728000 is an apocalyptic number.

18728000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23199852).

18728000 is an abundant number, since it is smaller than the sum of its proper divisors (27671704).

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

18728000 is an equidigital number, since it uses as much as digits as its factorization.

18728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 18728000 is about 4327.5859321335. The cubic root of 18728000 is about 265.5606972375.

The spelling of 18728000 in words is "eighteen million, seven hundred twenty-eight thousand".