16216128 has 84 divisors (see below), whose sum is σ = 47548800. Its totient is φ = 5281536.

The previous prime is 16216121. The next prime is 16216129. The reversal of 16216128 is 82161261.

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

It is not an unprimeable number, because it can be changed into a prime (16216121) 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 11 ways as a sum of consecutive naturals, for example, 26773 + ... + 27371.

Almost surely, 2^16216128 is an apocalyptic number.

16216128 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 16216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774400).

16216128 is an abundant number, since it is smaller than the sum of its proper divisors (31332672).

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

16216128 is a wasteful number, since it uses less digits than its factorization.

16216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 16216128 is about 4026.9253780024. The cubic root of 16216128 is about 253.1137401484.

Adding to 16216128 its reverse (82161261), we get a palindrome (98377389).

It can be divided in two parts, 162 and 16128, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 16216128 in words is "sixteen million, two hundred sixteen thousand, one hundred twenty-eight".