26028782784 has 224 divisors, whose sum is σ = 84051648000. Its totient is φ = 7862012928.

The previous prime is 26028782723. The next prime is 26028782789. The reversal of 26028782784 is 48728782062.

26028782784 is a `hidden beast` number, since 2 + 602 + 8 + 7 + 8 + 27 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26028782784.

It is not an unprimeable number, because it can be changed into a prime (26028782789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737902 + ... + 772370.

Almost surely, 2^26028782784 is an apocalyptic number.

26028782784 is a gapful number since it is divisible by the number (24) 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 26028782784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42025824000).

26028782784 is an abundant number, since it is smaller than the sum of its proper divisors (58022865216).

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

26028782784 is a wasteful number, since it uses less digits than its factorization.

26028782784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34532 (or 34516 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 26028782784 in words is "twenty-six billion, twenty-eight million, seven hundred eighty-two thousand, seven hundred eighty-four".