26728960 has 80 divisors (see below), whose sum is σ = 65627496. Its totient is φ = 10436608.

The previous prime is 26728957. The next prime is 26728969. The reversal of 26728960 is 6982762.

It can be written as a sum of positive squares in 4 ways, for example, as 26708224 + 20736 = 5168^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26728969) 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, 135582 + ... + 135778.

Almost surely, 2^26728960 is an apocalyptic number.

26728960 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 26728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32813748).

26728960 is an abundant number, since it is smaller than the sum of its proper divisors (38898536).

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

26728960 is an equidigital number, since it uses as much as digits as its factorization.

26728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 26728960 is about 5170.0058027047. The cubic root of 26728960 is about 298.9927702267.

The spelling of 26728960 in words is "twenty-six million, seven hundred twenty-eight thousand, nine hundred sixty".