28442168934400 has 405 divisors, whose sum is σ = 76496854501893. Its totient is φ = 10485340569600.

The previous prime is 28442168934397. The next prime is 28442168934401. The reversal of 28442168934400 is 443986124482.

The square root of 28442168934400 is 5333120.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 16048164192256 + 12394004742144 = 4006016^2 + 3520512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28442168934401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44371558080 + ... + 44371558720.

Almost surely, 2^{28442168934400} is an apocalyptic number.

28442168934400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28442168934400 is the 5333120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28442168934400

28442168934400 is an abundant number, since it is smaller than the sum of its proper divisors (48054685567493).

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

28442168934400 is an frugal number, since it uses more digits than its factorization.

28442168934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 55.

The spelling of 28442168934400 in words is "twenty-eight trillion, four hundred forty-two billion, one hundred sixty-eight million, nine hundred thirty-four thousand, four hundred".