28173208653440 has 256 divisors, whose sum is σ = 68476589913600. Its totient is φ = 11082778214400.

The previous prime is 28173208653437. The next prime is 28173208653479. The reversal of 28173208653440 is 4435680237182.

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 31 ways as a sum of consecutive naturals, for example, 13656425849 + ... + 13656427911.

It is an arithmetic number, because the mean of its divisors is an integer number (267486679350).

Almost surely, 2^{28173208653440} is an apocalyptic number.

28173208653440 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 28173208653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34238294956800).

28173208653440 is an abundant number, since it is smaller than the sum of its proper divisors (40303381260160).

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

28173208653440 is a wasteful number, since it uses less digits than its factorization.

28173208653440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3555 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 28173208653440 in words is "twenty-eight trillion, one hundred seventy-three billion, two hundred eight million, six hundred fifty-three thousand, four hundred forty".