28598456448 has 192 divisors, whose sum is σ = 89263694520. Its totient is φ = 8752988160.

The previous prime is 28598456441. The next prime is 28598456503. The reversal of 28598456448 is 84465489582.

28598456448 is a `hidden beast` number, since 28 + 5 + 9 + 8 + 4 + 564 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19597760064 + 9000696384 = 139992^2 + 94872^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×28598456448² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28598456441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 785136 + ... + 820752.

Almost surely, 2^28598456448 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 28598456448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44631847260).

28598456448 is an abundant number, since it is smaller than the sum of its proper divisors (60665238072).

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

28598456448 is a wasteful number, since it uses less digits than its factorization.

28598456448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35695 (or 35680 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 63.

The spelling of 28598456448 in words is "twenty-eight billion, five hundred ninety-eight million, four hundred fifty-six thousand, four hundred forty-eight".