26638528 has 56 divisors (see below), whose sum is σ = 61134752. Its totient is φ = 11280384.

The previous prime is 26638523. The next prime is 26638529. The reversal of 26638528 is 82583662.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×26638528² = 1419222348013568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26638523) 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 7 ways as a sum of consecutive naturals, for example, 43150 + ... + 43762.

It is an arithmetic number, because the mean of its divisors is an integer number (1091692).

Almost surely, 2^26638528 is an apocalyptic number.

26638528 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 26638528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30567376).

26638528 is an abundant number, since it is smaller than the sum of its proper divisors (34496224).

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

26638528 is an equidigital number, since it uses as much as digits as its factorization.

26638528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its digits is 138240, while the sum is 40.

The square root of 26638528 is about 5161.2525611522. The cubic root of 26638528 is about 298.6551954920.

The spelling of 26638528 in words is "twenty-six million, six hundred thirty-eight thousand, five hundred twenty-eight".