26668928 has 128 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 10598400.

The previous prime is 26668927. The next prime is 26668963. The reversal of 26668928 is 82986662.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26668928² = 1422463441338368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26668927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567401 + ... + 567447.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^26668928 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 26668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

26668928 is an abundant number, since it is smaller than the sum of its proper divisors (39133312).

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

26668928 is a wasteful number, since it uses less digits than its factorization.

26668928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its digits is 497664, while the sum is 47.

The square root of 26668928 is about 5164.1967429601. The cubic root of 26668928 is about 298.7687611567.

The spelling of 26668928 in words is "twenty-six million, six hundred sixty-eight thousand, nine hundred twenty-eight".