28391744540544 has 768 divisors, whose sum is σ = 101285587952640. Its totient is φ = 6873163038720.

The previous prime is 28391744540543. The next prime is 28391744540563. The reversal of 28391744540544 is 44504544719382.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28391744540543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569484322 + ... + 569534174.

It is an arithmetic number, because the mean of its divisors is an integer number (131882275980).

Almost surely, 2^{28391744540544} is an apocalyptic number.

28391744540544 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 28391744540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50642793976320).

28391744540544 is an abundant number, since it is smaller than the sum of its proper divisors (72893843412096).

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

28391744540544 is a wasteful number, since it uses less digits than its factorization.

28391744540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50019 (or 49996 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 60.

The spelling of 28391744540544 in words is "twenty-eight trillion, three hundred ninety-one billion, seven hundred forty-four million, five hundred forty thousand, five hundred forty-four".