28289929736448 has 432 divisors, whose sum is σ = 85228208345280. Its totient is φ = 9358736744448.

The previous prime is 28289929736447. The next prime is 28289929736477. The reversal of 28289929736448 is 84463792998282.

28289929736448 is a `hidden beast` number, since 2 + 8 + 2 + 89 + 9 + 2 + 97 + 3 + 6 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (28289929736447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13956550411 + ... + 13956552437.

Almost surely, 2^{28289929736448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28289929736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42614104172640).

28289929736448 is an abundant number, since it is smaller than the sum of its proper divisors (56938278608832).

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

28289929736448 is a wasteful number, since it uses less digits than its factorization.

28289929736448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3618 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 28289929736448 in words is "twenty-eight trillion, two hundred eighty-nine billion, nine hundred twenty-nine million, seven hundred thirty-six thousand, four hundred forty-eight".