28386944841024 has 1344 divisors, whose sum is σ = 108029656350720. Its totient is φ = 6909204234240.

The previous prime is 28386944840959. The next prime is 28386944841029. The reversal of 28386944841024 is 42014844968382.

It is a happy number.

28386944841024 is a `hidden beast` number, since 2 + 8 + 3 + 86 + 9 + 448 + 4 + 102 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28386944841029) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10259104089 + ... + 10259106855.

Almost surely, 2^{28386944841024} is an apocalyptic number.

28386944841024 is a gapful number since it is divisible by the number (24) 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 28386944841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014828175360).

28386944841024 is an abundant number, since it is smaller than the sum of its proper divisors (79642711509696).

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

28386944841024 is a wasteful number, since it uses less digits than its factorization.

28386944841024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 28386944841024 in words is "twenty-eight trillion, three hundred eighty-six billion, nine hundred forty-four million, eight hundred forty-one thousand, twenty-four".