28655168989824 has 1536 divisors, whose sum is σ = 100383537945600. Its totient is φ = 7761243930624.

The previous prime is 28655168989817. The next prime is 28655168989829. The reversal of 28655168989824 is 42898986155682.

It is a happy number.

28655168989824 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 516 + 8 + 9 + 8 + 98 + 2 + 4 = 666.

It is a super-2 number, since 2×28655168989824² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28655168989829) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26121393244 + ... + 26121394340.

It is an arithmetic number, because the mean of its divisors is an integer number (65353865850).

Almost surely, 2^{28655168989824} is an apocalyptic number.

28655168989824 is a gapful number since it is divisible by the number (24) 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 28655168989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50191768972800).

28655168989824 is an abundant number, since it is smaller than the sum of its proper divisors (71728368955776).

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

28655168989824 is a wasteful number, since it uses less digits than its factorization.

28655168989824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1275 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 81.

The spelling of 28655168989824 in words is "twenty-eight trillion, six hundred fifty-five billion, one hundred sixty-eight million, nine hundred eighty-nine thousand, eight hundred twenty-four".