16828864 has 56 divisors (see below), whose sum is σ = 36484560. Its totient is φ = 7655424.

The previous prime is 16828849. The next prime is 16828879. The reversal of 16828864 is 46882861.

It is an interprime number because it is at equal distance from previous prime (16828849) and next prime (16828879).

It is a self number, because there is not a number n which added to its sum of digits gives 16828864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93927 + ... + 94105.

It is an arithmetic number, because the mean of its divisors is an integer number (651510).

Almost surely, 2^16828864 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 16828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18242280).

16828864 is an abundant number, since it is smaller than the sum of its proper divisors (19655696).

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

16828864 is a wasteful number, since it uses less digits than its factorization.

16828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 307 counting only the distinct ones).

The product of its digits is 147456, while the sum is 43.

The square root of 16828864 is about 4102.2998427711. The cubic root of 16828864 is about 256.2624262069.

The spelling of 16828864 in words is "sixteen million, eight hundred twenty-eight thousand, eight hundred sixty-four".