28444886553600 has 3168 divisors, whose sum is σ = 125219038147200. Its totient is φ = 6253314048000.

The previous prime is 28444886553581. The next prime is 28444886553607. The reversal of 28444886553600 is 635568844482.

28444886553600 is a `hidden beast` number, since 2 + 8 + 4 + 448 + 86 + 5 + 53 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a super-3 number, since 3×28444886553600³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28444886553607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 124213478286 + ... + 124213478514.

Almost surely, 2^{28444886553600} is an apocalyptic number.

28444886553600 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 28444886553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62609519073600).

28444886553600 is an abundant number, since it is smaller than the sum of its proper divisors (96774151593600).

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

28444886553600 is a wasteful number, since it uses less digits than its factorization.

28444886553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 176947200, while the sum is 63.

The spelling of 28444886553600 in words is "twenty-eight trillion, four hundred forty-four billion, eight hundred eighty-six million, five hundred fifty-three thousand, six hundred".