16128384 has 64 divisors (see below), whose sum is σ = 43382640. Its totient is φ = 5308416.

The previous prime is 16128373. The next prime is 16128389. The reversal of 16128384 is 48382161.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16128389) 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, 37032 + ... + 37464.

Almost surely, 2^16128384 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 16128384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21691320).

16128384 is an abundant number, since it is smaller than the sum of its proper divisors (27254256).

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

16128384 is an equidigital number, since it uses as much as digits as its factorization.

16128384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 16128384 is about 4016.0159362234. The cubic root of 16128384 is about 252.6563890839.

The spelling of 16128384 in words is "sixteen million, one hundred twenty-eight thousand, three hundred eighty-four".