28752742005120 has 640 divisors, whose sum is σ = 117458966053440. Its totient is φ = 6565951881216.

The previous prime is 28752742005083. The next prime is 28752742005139. The reversal of 28752742005120 is 2150024725782.

28752742005120 is a `hidden beast` number, since 2 + 8 + 75 + 27 + 42 + 0 + 0 + 512 + 0 = 666.

28752742005120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 396591594 + ... + 396664086.

Almost surely, 2^{28752742005120} is an apocalyptic number.

28752742005120 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 28752742005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58729483026720).

28752742005120 is an abundant number, since it is smaller than the sum of its proper divisors (88706224048320).

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

28752742005120 is a wasteful number, since it uses less digits than its factorization.

28752742005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73624 (or 73603 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 28752742005120 in words is "twenty-eight trillion, seven hundred fifty-two billion, seven hundred forty-two million, five thousand, one hundred twenty".