28362912844224 has 448 divisors, whose sum is σ = 86818198118400. Its totient is φ = 8004902940672.

The previous prime is 28362912844219. The next prime is 28362912844243. The reversal of 28362912844224 is 42244821926382.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 33805616797 + ... + 33805617635.

It is an arithmetic number, because the mean of its divisors is an integer number (193790620800).

Almost surely, 2^{28362912844224} is an apocalyptic number.

28362912844224 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 28362912844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43409099059200).

28362912844224 is an abundant number, since it is smaller than the sum of its proper divisors (58455285274176).

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

28362912844224 is a wasteful number, since it uses less digits than its factorization.

28362912844224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 57.

The spelling of 28362912844224 in words is "twenty-eight trillion, three hundred sixty-two billion, nine hundred twelve million, eight hundred forty-four thousand, two hundred twenty-four".