26289472 has 56 divisors (see below), whose sum is σ = 57607200. Its totient is φ = 11804160.

The previous prime is 26289467. The next prime is 26289479. The reversal of 26289472 is 27498262.

It is a super-2 number, since 2×26289472² = 1382272676077568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26289479) 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, 75154 + ... + 75502.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^26289472 is an apocalyptic number.

26289472 is a gapful number since it is divisible by the number (22) 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 26289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28803600).

26289472 is an abundant number, since it is smaller than the sum of its proper divisors (31317728).

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

26289472 is a wasteful number, since it uses less digits than its factorization.

26289472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 26289472 is about 5127.3260087496. The cubic root of 26289472 is about 297.3449871539.

It can be divided in two parts, 2628 and 9472, that added together give a square (12100 = 110²).

The spelling of 26289472 in words is "twenty-six million, two hundred eighty-nine thousand, four hundred seventy-two".