26628 has 24 divisors (see below), whose sum is σ = 71232. Its totient is φ = 7584.

The previous prime is 26627. The next prime is 26633. The reversal of 26628 is 82662.

It is a junction number, because it is equal to n+sod(n) for n = 26598 and 26607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 242.

It is an arithmetic number, because the mean of its divisors is an integer number (2968).

2²⁶⁶²⁸ is an apocalyptic number.

26628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

26628 is an abundant number, since it is smaller than the sum of its proper divisors (44604).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35616).

26628 is a wasteful number, since it uses less digits than its factorization.

26628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 26628 is about 163.1808812331. The cubic root of 26628 is about 29.8615845768.

The spelling of 26628 in words is "twenty-six thousand, six hundred twenty-eight".