26585328 has 80 divisors (see below), whose sum is σ = 85637376. Its totient is φ = 6904320.

The previous prime is 26585323. The next prime is 26585333. The reversal of 26585328 is 82358562.

It is an interprime number because it is at equal distance from previous prime (26585323) and next prime (26585333).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26585323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100 + ... + 7292.

Almost surely, 2^26585328 is an apocalyptic number.

26585328 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 26585328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42818688).

26585328 is an abundant number, since it is smaller than the sum of its proper divisors (59052048).

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

26585328 is a wasteful number, since it uses less digits than its factorization.

26585328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 7216 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 26585328 is about 5156.0961977062. The cubic root of 26585328 is about 298.4562474978.

The spelling of 26585328 in words is "twenty-six million, five hundred eighty-five thousand, three hundred twenty-eight".