16928928 has 72 divisors (see below), whose sum is σ = 49297248. Its totient is φ = 5507712.

The previous prime is 16928927. The next prime is 16928939. The reversal of 16928928 is 82982961.

It is a tau number, because it is divible by the number of its divisors (72).

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 (16928921) 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, 11701 + ... + 13067.

It is an arithmetic number, because the mean of its divisors is an integer number (684684).

Almost surely, 2^16928928 is an apocalyptic number.

16928928 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 16928928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624).

16928928 is an abundant number, since it is smaller than the sum of its proper divisors (32368320).

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

16928928 is a wasteful number, since it uses less digits than its factorization.

16928928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1415 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 16928928 is about 4114.4778526564. The cubic root of 16928928 is about 256.7693328156.

The spelling of 16928928 in words is "sixteen million, nine hundred twenty-eight thousand, nine hundred twenty-eight".