18682728 has 64 divisors (see below), whose sum is σ = 51192000. Its totient is φ = 5655552.

The previous prime is 18682723. The next prime is 18682733. The reversal of 18682728 is 82728681.

It is an interprime number because it is at equal distance from previous prime (18682723) and next prime (18682733).

It is a self number, because there is not a number n which added to its sum of digits gives 18682728.

It is not an unprimeable number, because it can be changed into a prime (18682721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11043 + ... + 12621.

It is an arithmetic number, because the mean of its divisors is an integer number (799875).

Almost surely, 2^18682728 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 18682728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25596000).

18682728 is an abundant number, since it is smaller than the sum of its proper divisors (32509272).

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

18682728 is a wasteful number, since it uses less digits than its factorization.

18682728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1630 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 18682728 is about 4322.3521374363. The cubic root of 18682728 is about 265.3465408160.

The spelling of 18682728 in words is "eighteen million, six hundred eighty-two thousand, seven hundred twenty-eight".