16628688 has 60 divisors (see below), whose sum is σ = 47810308. Its totient is φ = 5391360.

The previous prime is 16628681. The next prime is 16628693. The reversal of 16628688 is 88682661.

16628688 is a `hidden beast` number, since 16 + 628 + 6 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5817744 + 10810944 = 2412^2 + 3288^2 .

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 (16628681) 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, 3768 + ... + 6888.

Almost surely, 2^16628688 is an apocalyptic number.

16628688 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 16628688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23905154).

16628688 is an abundant number, since it is smaller than the sum of its proper divisors (31181620).

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

16628688 is a wasteful number, since it uses less digits than its factorization.

16628688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3163 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 16628688 is about 4077.8288340733. The cubic root of 16628688 is about 255.2423071665.

The spelling of 16628688 in words is "sixteen million, six hundred twenty-eight thousand, six hundred eighty-eight".