28252756939680 has 2304 divisors, whose sum is σ = 127082172672000. Its totient is φ = 5671750533120.

The previous prime is 28252756939639. The next prime is 28252756939697. The reversal of 28252756939680 is 8693965725282.

28252756939680 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 27 + 569 + 39 + 6 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 28252756939599 and 28252756939608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13220755572 + ... + 13220757708.

It is an arithmetic number, because the mean of its divisors is an integer number (55157193000).

Almost surely, 2^{28252756939680} is an apocalyptic number.

28252756939680 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 28252756939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63541086336000).

28252756939680 is an abundant number, since it is smaller than the sum of its proper divisors (98829415732320).

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

28252756939680 is a wasteful number, since it uses less digits than its factorization.

28252756939680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 28252756939680 in words is "twenty-eight trillion, two hundred fifty-two billion, seven hundred fifty-six million, nine hundred thirty-nine thousand, six hundred eighty".