16882208928 has 288 divisors, whose sum is σ = 55185399360. Its totient is φ = 4852224000.

The previous prime is 16882208899. The next prime is 16882208951. The reversal of 16882208928 is 82980228861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5191303 + ... + 5194553.

It is an arithmetic number, because the mean of its divisors is an integer number (191615970).

Almost surely, 2^16882208928 is an apocalyptic number.

16882208928 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 16882208928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27592699680).

16882208928 is an abundant number, since it is smaller than the sum of its proper divisors (38303190432).

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

16882208928 is a wasteful number, since it uses less digits than its factorization.

16882208928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3372 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 16882208928 in words is "sixteen billion, eight hundred eighty-two million, two hundred eight thousand, nine hundred twenty-eight".