28259276760 has 640 divisors, whose sum is σ = 112493525760. Its totient is φ = 6298560000.

The previous prime is 28259276713. The next prime is 28259276767. The reversal of 28259276760 is 6767295282.

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

It is a junction number, because it is equal to n+sod(n) for n = 28259276697 and 28259276706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28259276767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 112586635 + ... + 112586885.

It is an arithmetic number, because the mean of its divisors is an integer number (175771134).

Almost surely, 2^28259276760 is an apocalyptic number.

28259276760 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 28259276760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246762880).

28259276760 is an abundant number, since it is smaller than the sum of its proper divisors (84234249000).

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

28259276760 is a wasteful number, since it uses less digits than its factorization.

28259276760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 28259276760 in words is "twenty-eight billion, two hundred fifty-nine million, two hundred seventy-six thousand, seven hundred sixty".