28827224496000 has 2304 divisors, whose sum is σ = 131924813529600. Its totient is φ = 5986920038400.

The previous prime is 28827224495999. The next prime is 28827224496013. The reversal of 28827224496000 is 69442272882.

28827224496000 is a `hidden beast` number, since 2 + 8 + 8 + 2 + 7 + 2 + 24 + 4 + 9 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3478603857 + ... + 3478612143.

It is an arithmetic number, because the mean of its divisors is an integer number (57259033650).

Almost surely, 2^{28827224496000} is an apocalyptic number.

28827224496000 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 28827224496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65962406764800).

28827224496000 is an abundant number, since it is smaller than the sum of its proper divisors (103097589033600).

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

28827224496000 is a wasteful number, since it uses less digits than its factorization.

28827224496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8350 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 28827224496000 in words is "twenty-eight trillion, eight hundred twenty-seven billion, two hundred twenty-four million, four hundred ninety-six thousand".