28556115840 has 768 divisors, whose sum is σ = 123823365120. Its totient is φ = 6139183104.

The previous prime is 28556115839. The next prime is 28556115853. The reversal of 28556115840 is 4851165582.

28556115840 is a `hidden beast` number, since 2 + 8 + 5 + 5 + 61 + 1 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 18506109 + ... + 18507651.

It is an arithmetic number, because the mean of its divisors is an integer number (161228340).

Almost surely, 2^28556115840 is an apocalyptic number.

28556115840 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 28556115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61911682560).

28556115840 is an abundant number, since it is smaller than the sum of its proper divisors (95267249280).

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

28556115840 is a wasteful number, since it uses less digits than its factorization.

28556115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

It can be divided in two parts, 285561 and 15840, that added together give a square (301401 = 549²).

The spelling of 28556115840 in words is "twenty-eight billion, five hundred fifty-six million, one hundred fifteen thousand, eight hundred forty".