18541728 has 36 divisors (see below), whose sum is σ = 52728858. Its totient is φ = 6180480.

The previous prime is 18541727. The next prime is 18541741. The reversal of 18541728 is 82714581.

It can be written as a sum of positive squares in only one way, i.e., 13927824 + 4613904 = 3732^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 18541692 and 18541701.

It is not an unprimeable number, because it can be changed into a prime (18541723) 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 5 ways as a sum of consecutive naturals, for example, 31903 + ... + 32478.

Almost surely, 2^18541728 is an apocalyptic number.

18541728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

18541728 is an abundant number, since it is smaller than the sum of its proper divisors (34187130).

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

18541728 is a wasteful number, since it uses less digits than its factorization.

18541728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64397 (or 64386 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 18541728 is about 4306.0106827550. The cubic root of 18541728 is about 264.6773241173.

The spelling of 18541728 in words is "eighteen million, five hundred forty-one thousand, seven hundred twenty-eight".