28753610382 has 192 divisors, whose sum is σ = 76968537984. Its totient is φ = 7571128320.

The previous prime is 28753610357. The next prime is 28753610447. The reversal of 28753610382 is 28301635782.

28753610382 is a `hidden beast` number, since 2 + 8 + 7 + 536 + 103 + 8 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44032768 + ... + 44033420.

It is an arithmetic number, because the mean of its divisors is an integer number (400877802).

Almost surely, 2^28753610382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28753610382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38484268992).

28753610382 is an abundant number, since it is smaller than the sum of its proper divisors (48214927602).

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

28753610382 is a wasteful number, since it uses less digits than its factorization.

28753610382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28753610382 in words is "twenty-eight billion, seven hundred fifty-three million, six hundred ten thousand, three hundred eighty-two".