28560613011840 has 2304 divisors, whose sum is σ = 133737574763520. Its totient is φ = 5670694158336.

The previous prime is 28560613011809. The next prime is 28560613011851. The reversal of 28560613011840 is 4811031606582.

28560613011840 is a `hidden beast` number, since 2 + 8 + 5 + 606 + 1 + 30 + 1 + 1 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×28560613011840² (a number of 28 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4090016989 + ... + 4090023971.

It is an arithmetic number, because the mean of its divisors is an integer number (58045822380).

Almost surely, 2^{28560613011840} is an apocalyptic number.

28560613011840 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 28560613011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66868787381760).

28560613011840 is an abundant number, since it is smaller than the sum of its proper divisors (105176961751680).

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

28560613011840 is a wasteful number, since it uses less digits than its factorization.

28560613011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7030 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28560613011840 in words is "twenty-eight trillion, five hundred sixty billion, six hundred thirteen million, eleven thousand, eight hundred forty".