28785768560640 has 1536 divisors, whose sum is σ = 132568240896000. Its totient is φ = 5753728401408.

The previous prime is 28785768560581. The next prime is 28785768560641. The reversal of 28785768560640 is 4606586758782.

28785768560640 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 5 + 7 + 6 + 8 + 5 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28785768560641) 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 127 ways as a sum of consecutive naturals, for example, 478003812 + ... + 478064028.

It is an arithmetic number, because the mean of its divisors is an integer number (86307448500).

Almost surely, 2^{28785768560640} is an apocalyptic number.

28785768560640 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 28785768560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66284120448000).

28785768560640 is an abundant number, since it is smaller than the sum of its proper divisors (103782472335360).

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

28785768560640 is a wasteful number, since it uses less digits than its factorization.

28785768560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60292 (or 60266 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 28785768560640 in words is "twenty-eight trillion, seven hundred eighty-five billion, seven hundred sixty-eight million, five hundred sixty thousand, six hundred forty".