26892768 has 72 divisors (see below), whose sum is σ = 82133352. Its totient is φ = 7682304.

The previous prime is 26892751. The next prime is 26892769. The reversal of 26892768 is 86729862.

It is a happy number.

It is a super-3 number, since 3×26892768³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26892769) 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, 1846 + ... + 7562.

It is an arithmetic number, because the mean of its divisors is an integer number (1140741).

Almost surely, 2^26892768 is an apocalyptic number.

26892768 is a gapful number since it is divisible by the number (28) 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 26892768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41066676).

26892768 is an abundant number, since it is smaller than the sum of its proper divisors (55240584).

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

26892768 is a wasteful number, since it uses less digits than its factorization.

26892768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5729 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 26892768 is about 5185.8237532720. The cubic root of 26892768 is about 299.6023175062.

The spelling of 26892768 in words is "twenty-six million, eight hundred ninety-two thousand, seven hundred sixty-eight".