16805628 has 72 divisors (see below), whose sum is σ = 49576800. Its totient is φ = 4798080.

The previous prime is 16805609. The next prime is 16805651. The reversal of 16805628 is 82650861.

It is a happy number.

16805628 is a `hidden beast` number, since 16 + 80 + 562 + 8 = 666.

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 = 16805592 and 16805601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11668 + ... + 13028.

It is a vampire number, since it can be written as 2058 ⋅ 8166 (with its own digits).

Almost surely, 2^16805628 is an apocalyptic number.

16805628 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 16805628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24788400).

16805628 is an abundant number, since it is smaller than the sum of its proper divisors (32771172).

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

16805628 is a wasteful number, since it uses less digits than its factorization.

16805628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 16805628 is about 4099.4667945966. The cubic root of 16805628 is about 256.1444294058.

The spelling of 16805628 in words is "sixteen million, eight hundred five thousand, six hundred twenty-eight".