16820928 has 168 divisors, whose sum is σ = 53492400. Its totient is φ = 5031936.

The previous prime is 16820897. The next prime is 16820929. The reversal of 16820928 is 82902861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16820892 and 16820901.

It is not an unprimeable number, because it can be changed into a prime (16820929) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 317350 + ... + 317402.

Almost surely, 2^16820928 is an apocalyptic number.

16820928 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 16820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746200).

16820928 is an abundant number, since it is smaller than the sum of its proper divisors (36671472).

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

16820928 is a wasteful number, since it uses less digits than its factorization.

16820928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16820928 is about 4101.3324664065. The cubic root of 16820928 is about 256.2221379185. Note that the first 3 decimals are identical.

The spelling of 16820928 in words is "sixteen million, eight hundred twenty thousand, nine hundred twenty-eight".