26538288 has 80 divisors (see below), whose sum is σ = 82494720. Its totient is φ = 7181568.

The previous prime is 26538283. The next prime is 26538293. The reversal of 26538288 is 88283562.

It is an interprime number because it is at equal distance from previous prime (26538283) and next prime (26538293).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26538283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4306 + ... + 8462.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 2^26538288 is an apocalyptic number.

26538288 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 26538288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41247360).

26538288 is an abundant number, since it is smaller than the sum of its proper divisors (55956432).

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

26538288 is a wasteful number, since it uses less digits than its factorization.

26538288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4188 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 26538288 is about 5151.5325874928. The cubic root of 26538288 is about 298.2801143760.

The spelling of 26538288 in words is "twenty-six million, five hundred thirty-eight thousand, two hundred eighty-eight".