28753765834752 has 1176 divisors, whose sum is σ = 101426742966276. Its totient is φ = 8122640891904.

The previous prime is 28753765834747. The next prime is 28753765834763. The reversal of 28753765834752 is 25743856735782.

28753765834752 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 3 + 76 + 5 + 83 + 475 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24475421085696 + 4278344749056 = 4947264^2 + 2068416^2 .

It is a tau number, because it is divible by the number of its divisors (1176).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 28384763398 + ... + 28384764410.

Almost surely, 2^{28753765834752} 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 28753765834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50713371483138).

28753765834752 is an abundant number, since it is smaller than the sum of its proper divisors (72672977131524).

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

28753765834752 is an frugal number, since it uses more digits than its factorization.

28753765834752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1122 counting only the distinct ones).

The product of its digits is 2370816000, while the sum is 72.

The spelling of 28753765834752 in words is "twenty-eight trillion, seven hundred fifty-three billion, seven hundred sixty-five million, eight hundred thirty-four thousand, seven hundred fifty-two".