28821782448 has 320 divisors, whose sum is σ = 88708608000. Its totient is φ = 8939234304.

The previous prime is 28821782447. The next prime is 28821782459. The reversal of 28821782448 is 84428712882.

28821782448 is a `hidden beast` number, since 28 + 8 + 2 + 178 + 2 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 28821782394 and 28821782403.

It is not an unprimeable number, because it can be changed into a prime (28821782447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120593113 + ... + 120593351.

It is an arithmetic number, because the mean of its divisors is an integer number (277214400).

Almost surely, 2^28821782448 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 28821782448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44354304000).

28821782448 is an abundant number, since it is smaller than the sum of its proper divisors (59886825552).

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

28821782448 is a wasteful number, since it uses less digits than its factorization.

28821782448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 549 counting only the distinct ones).

The product of its digits is 3670016, while the sum is 54.

The spelling of 28821782448 in words is "twenty-eight billion, eight hundred twenty-one million, seven hundred eighty-two thousand, four hundred forty-eight".