28446350745600 has 1008 divisors, whose sum is σ = 108815162526720. Its totient is φ = 7087443148800.

The previous prime is 28446350745509. The next prime is 28446350745619. The reversal of 28446350745600 is 654705364482.

28446350745600 is a `hidden beast` number, since 2 + 8 + 4 + 4 + 6 + 3 + 5 + 0 + 74 + 560 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1657028217 + ... + 1657045383.

Almost surely, 2^{28446350745600} is an apocalyptic number.

28446350745600 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 28446350745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54407581263360).

28446350745600 is an abundant number, since it is smaller than the sum of its proper divisors (80368811781120).

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

28446350745600 is a wasteful number, since it uses less digits than its factorization.

28446350745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17269 (or 17237 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 28446350745600 in words is "twenty-eight trillion, four hundred forty-six billion, three hundred fifty million, seven hundred forty-five thousand, six hundred".