26938928000 has 128 divisors (see below), whose sum is σ = 68114498400. Its totient is φ = 10592563200.

The previous prime is 26938927973. The next prime is 26938928017. The reversal of 26938928000 is 82983962.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 929732 + ... + 958268.

Almost surely, 2^26938928000 is an apocalyptic number.

26938928000 is a gapful number since it is divisible by the number (20) 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 26938928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34057249200).

26938928000 is an abundant number, since it is smaller than the sum of its proper divisors (41175570400).

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

26938928000 is an equidigital number, since it uses as much as digits as its factorization.

26938928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28625 (or 28603 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 26938928000 in words is "twenty-six billion, nine hundred thirty-eight million, nine hundred twenty-eight thousand".