28753202105856 has 1440 divisors, whose sum is σ = 95121229851648. Its totient is φ = 8659831357440.

The previous prime is 28753202105851. The next prime is 28753202105857. The reversal of 28753202105856 is 65850120235782.

It is a happy number.

28753202105856 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 32 + 0 + 21 + 0 + 585 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28753202105851) 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 143 ways as a sum of consecutive naturals, for example, 148980321696 + ... + 148980321888.

Almost surely, 2^{28753202105856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28753202105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47560614925824).

28753202105856 is an abundant number, since it is smaller than the sum of its proper divisors (66368027745792).

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

28753202105856 is a wasteful number, since it uses less digits than its factorization.

28753202105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 28753202105856 in words is "twenty-eight trillion, seven hundred fifty-three billion, two hundred two million, one hundred five thousand, eight hundred fifty-six".