26728289280 has 1408 divisors, whose sum is σ = 123755397120. Its totient is φ = 5374771200.

The previous prime is 26728289239. The next prime is 26728289299. The reversal of 26728289280 is 8298282762.

26728289280 is a `hidden beast` number, since 2 + 6 + 7 + 282 + 89 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 862202865 + ... + 862202895.

Almost surely, 2^26728289280 is an apocalyptic number.

26728289280 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 26728289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61877698560).

26728289280 is an abundant number, since it is smaller than the sum of its proper divisors (97027107840).

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

26728289280 is an equidigital number, since it uses as much as digits as its factorization.

26728289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 26728289280 in words is "twenty-six billion, seven hundred twenty-eight million, two hundred eighty-nine thousand, two hundred eighty".