26307397728 has 288 divisors, whose sum is σ = 82845794304. Its totient is φ = 8183089152.

The previous prime is 26307397693. The next prime is 26307397729. The reversal of 26307397728 is 82779370362.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26307397729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16787601 + ... + 16789167.

It is an arithmetic number, because the mean of its divisors is an integer number (287659008).

Almost surely, 2^26307397728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26307397728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41422897152).

26307397728 is an abundant number, since it is smaller than the sum of its proper divisors (56538396576).

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

26307397728 is a wasteful number, since it uses less digits than its factorization.

26307397728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 26307397728 in words is "twenty-six billion, three hundred seven million, three hundred ninety-seven thousand, seven hundred twenty-eight".