28259637840 has 480 divisors, whose sum is σ = 116843950080. Its totient is φ = 5976198144.

The previous prime is 28259637827. The next prime is 28259637841. The reversal of 28259637840 is 4873695282.

28259637840 is a `hidden beast` number, since 2 + 8 + 2 + 596 + 3 + 7 + 8 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28259637841) 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 95 ways as a sum of consecutive naturals, for example, 4114249 + ... + 4121111.

It is an arithmetic number, because the mean of its divisors is an integer number (243424896).

Almost surely, 2^28259637840 is an apocalyptic number.

28259637840 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 28259637840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58421975040).

28259637840 is an abundant number, since it is smaller than the sum of its proper divisors (88584312240).

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

28259637840 is a wasteful number, since it uses less digits than its factorization.

28259637840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6951 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 28259637840 in words is "twenty-eight billion, two hundred fifty-nine million, six hundred thirty-seven thousand, eight hundred forty".