26928 has 60 divisors (see below), whose sum is σ = 87048. Its totient is φ = 7680.

The previous prime is 26927. The next prime is 26947. The reversal of 26928 is 82962.

26928 = 12² + 13² + ... + 43².

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (26921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1576 + ... + 1592.

2²⁶⁹²⁸ 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 26928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43524).

26928 is an abundant number, since it is smaller than the sum of its proper divisors (60120).

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

26928 is a wasteful number, since it uses less digits than its factorization.

26928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 33 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 26928 is about 164.0975319741. The cubic root of 26928 is about 29.9733095945.

Subtracting from 26928 its product of digits (1728), we obtain a triangular number (25200 = T₂₂₄).

The spelling of 26928 in words is "twenty-six thousand, nine hundred twenty-eight".