18671328 has 72 divisors (see below), whose sum is σ = 57192408. Its totient is φ = 5743872.

The previous prime is 18671327. The next prime is 18671353. The reversal of 18671328 is 82317681.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 18671292 and 18671301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18671327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1251 + ... + 6237.

It is an arithmetic number, because the mean of its divisors is an integer number (794339).

Almost surely, 2^18671328 is an apocalyptic number.

18671328 is a gapful number since it is divisible by the number (18) 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 18671328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28596204).

18671328 is an abundant number, since it is smaller than the sum of its proper divisors (38521080).

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

18671328 is a wasteful number, since it uses less digits than its factorization.

18671328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 5005 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 18671328 is about 4321.0332097775. The cubic root of 18671328 is about 265.2925592983.

The spelling of 18671328 in words is "eighteen million, six hundred seventy-one thousand, three hundred twenty-eight".