26338501728 has 1008 divisors, whose sum is σ = 103158494208. Its totient is φ = 6466521600.

The previous prime is 26338501711. The next prime is 26338501733. The reversal of 26338501728 is 82710583362.

26338501728 is a `hidden beast` number, since 2 + 633 + 8 + 5 + 0 + 1 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 612523275 + ... + 612523317.

It is an arithmetic number, because the mean of its divisors is an integer number (102339776).

Almost surely, 2^26338501728 is an apocalyptic number.

26338501728 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 26338501728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51579247104).

26338501728 is an abundant number, since it is smaller than the sum of its proper divisors (76819992480).

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

26338501728 is a wasteful number, since it uses less digits than its factorization.

26338501728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 26338501728 in words is "twenty-six billion, three hundred thirty-eight million, five hundred one thousand, seven hundred twenty-eight".