28754134087392 has 216 divisors, whose sum is σ = 95252030546400. Its totient is φ = 8204037746688.

The previous prime is 28754134087319. The next prime is 28754134087397. The reversal of 28754134087392 is 29378043145782.

It is a happy number.

28754134087392 is a `hidden beast` number, since 2 + 8 + 7 + 541 + 3 + 4 + 0 + 87 + 3 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28754134087397) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8729584 + ... + 11563472.

It is an arithmetic number, because the mean of its divisors is an integer number (440981622900).

Almost surely, 2^{28754134087392} 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 28754134087392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47626015273200).

28754134087392 is an abundant number, since it is smaller than the sum of its proper divisors (66497896459008).

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

28754134087392 is a wasteful number, since it uses less digits than its factorization.

28754134087392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834638 (or 2834620 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 28754134087392 in words is "twenty-eight trillion, seven hundred fifty-four billion, one hundred thirty-four million, eighty-seven thousand, three hundred ninety-two".