28668415104 has 768 divisors, whose sum is σ = 104782233600. Its totient is φ = 7681443840.

The previous prime is 28668415099. The next prime is 28668415141. The reversal of 28668415104 is 40151486682.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 28668415104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225735489 + ... + 225735615.

It is an arithmetic number, because the mean of its divisors is an integer number (136435200).

Almost surely, 2^28668415104 is an apocalyptic number.

28668415104 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 28668415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52391116800).

28668415104 is an abundant number, since it is smaller than the sum of its proper divisors (76113818496).

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

28668415104 is a wasteful number, since it uses less digits than its factorization.

28668415104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 28668415104 in words is "twenty-eight billion, six hundred sixty-eight million, four hundred fifteen thousand, one hundred four".