28448422934400 has 3456 divisors, whose sum is σ = 134070014208000. Its totient is φ = 5604094771200.

The previous prime is 28448422934389. The next prime is 28448422934443. The reversal of 28448422934400 is 443922484482.

It is a happy number.

28448422934400 is a `hidden beast` number, since 2 + 8 + 4 + 4 + 8 + 4 + 229 + 3 + 4 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34316553186 + ... + 34316554014.

Almost surely, 2^{28448422934400} is an apocalyptic number.

28448422934400 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 28448422934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67035007104000).

28448422934400 is an abundant number, since it is smaller than the sum of its proper divisors (105621591273600).

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

28448422934400 is a wasteful number, since it uses less digits than its factorization.

28448422934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 28448422934400 in words is "twenty-eight trillion, four hundred forty-eight billion, four hundred twenty-two million, nine hundred thirty-four thousand, four hundred".