17928 has 32 divisors (see below), whose sum is σ = 50400. Its totient is φ = 5904.

The previous prime is 17923. The next prime is 17929. The reversal of 17928 is 82971.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (17921) by changing a digit.

17928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

2¹⁷⁹²⁸ is an apocalyptic number.

17928 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 17928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200).

17928 is an abundant number, since it is smaller than the sum of its proper divisors (32472).

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

17928 is a wasteful number, since it uses less digits than its factorization.

17928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 17928 is about 133.8954816265. The cubic root of 17928 is about 26.1724240287.

Adding to 17928 its sum of digits (27), we get a triangular number (17955 = T₁₈₉).

The spelling of 17928 in words is "seventeen thousand, nine hundred twenty-eight".