28014829045344 has 288 divisors, whose sum is σ = 80520125160384. Its totient is φ = 9238948024320.

The previous prime is 28014829045337. The next prime is 28014829045351. The reversal of 28014829045344 is 44354092841082.

28014829045344 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 4 + 8 + 290 + 4 + 5 + 344 = 666.

It is an interprime number because it is at equal distance from previous prime (28014829045337) and next prime (28014829045351).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11562041317 + ... + 11562043739.

It is an arithmetic number, because the mean of its divisors is an integer number (279583767918).

Almost surely, 2^{28014829045344} is an apocalyptic number.

28014829045344 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 28014829045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40260062580192).

28014829045344 is an abundant number, since it is smaller than the sum of its proper divisors (52505296115040).

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

28014829045344 is a wasteful number, since it uses less digits than its factorization.

28014829045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3670 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 28014829045344 in words is "twenty-eight trillion, fourteen billion, eight hundred twenty-nine million, forty-five thousand, three hundred forty-four".