16838928 has 120 divisors (see below), whose sum is σ = 50371776. Its totient is φ = 5443200.

The previous prime is 16838923. The next prime is 16838971. The reversal of 16838928 is 82983861.

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 (16838923) 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, 237133 + ... + 237203.

Almost surely, 2^16838928 is an apocalyptic number.

16838928 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 16838928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25185888).

16838928 is an abundant number, since it is smaller than the sum of its proper divisors (33532848).

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

16838928 is an equidigital number, since it uses as much as digits as its factorization.

16838928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 16838928 is about 4103.5262884500. The cubic root of 16838928 is about 256.3134993933.

It can be divided in two parts, 16838 and 928, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 16838928 in words is "sixteen million, eight hundred thirty-eight thousand, nine hundred twenty-eight".