26748288 has 192 divisors, whose sum is σ = 91653120. Its totient is φ = 7326720.

The previous prime is 26748283. The next prime is 26748301. The reversal of 26748288 is 88284762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26748283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249931 + ... + 250037.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 2^26748288 is an apocalyptic number.

26748288 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 26748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45826560).

26748288 is an abundant number, since it is smaller than the sum of its proper divisors (64904832).

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

26748288 is a wasteful number, since it uses less digits than its factorization.

26748288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 26748288 is about 5171.8747084592. The cubic root of 26748288 is about 299.0648211643.

The spelling of 26748288 in words is "twenty-six million, seven hundred forty-eight thousand, two hundred eighty-eight".