28443747720960 has 864 divisors, whose sum is σ = 120644372878848. Its totient is φ = 6088285716480.

The previous prime is 28443747720943. The next prime is 28443747720961. The reversal of 28443747720960 is 6902774734482.

28443747720960 is a `hidden beast` number, since 2 + 8 + 4 + 437 + 47 + 72 + 0 + 96 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28443747720961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37513927 + ... + 38264633.

It is an arithmetic number, because the mean of its divisors is an integer number (139634690832).

Almost surely, 2^{28443747720960} is an apocalyptic number.

28443747720960 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 28443747720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60322186439424).

28443747720960 is an abundant number, since it is smaller than the sum of its proper divisors (92200625157888).

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

28443747720960 is a wasteful number, since it uses less digits than its factorization.

28443747720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750781 (or 750764 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 28443747720960 in words is "twenty-eight trillion, four hundred forty-three billion, seven hundred forty-seven million, seven hundred twenty thousand, nine hundred sixty".