16801928 has 64 divisors (see below), whose sum is σ = 39009600. Its totient is φ = 6670080.

The previous prime is 16801927. The next prime is 16801931. The reversal of 16801928 is 82910861.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16801927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21350 + ... + 22122.

It is an arithmetic number, because the mean of its divisors is an integer number (609525).

Almost surely, 2^16801928 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 16801928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19504800).

16801928 is an abundant number, since it is smaller than the sum of its proper divisors (22207672).

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

16801928 is a wasteful number, since it uses less digits than its factorization.

16801928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 16801928 is about 4099.0154915540. The cubic root of 16801928 is about 256.1256300697.

The spelling of 16801928 in words is "sixteen million, eight hundred one thousand, nine hundred twenty-eight".