28668147264 has 560 divisors, whose sum is σ = 95004940800. Its totient is φ = 8510054400.

The previous prime is 28668147241. The next prime is 28668147293. The reversal of 28668147264 is 46274186682.

It is a happy number.

28668147264 is a `hidden beast` number, since 286 + 68 + 1 + 47 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 28668147264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 125188302 + ... + 125188530.

It is an arithmetic number, because the mean of its divisors is an integer number (169651680).

Almost surely, 2^28668147264 is an apocalyptic number.

28668147264 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 28668147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47502470400).

28668147264 is an abundant number, since it is smaller than the sum of its proper divisors (66336793536).

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

28668147264 is a wasteful number, since it uses less digits than its factorization.

28668147264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 28668147264 in words is "twenty-eight billion, six hundred sixty-eight million, one hundred forty-seven thousand, two hundred sixty-four".