28864601745408 has 2160 divisors, whose sum is σ = 104968958814720. Its totient is φ = 7890880757760.

The previous prime is 28864601745379. The next prime is 28864601745449. The reversal of 28864601745408 is 80454710646882.

It is a happy number.

28864601745408 is a `hidden beast` number, since 2 + 8 + 86 + 4 + 6 + 0 + 1 + 7 + 4 + 540 + 8 = 666.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 227280328641 + ... + 227280328767.

It is an arithmetic number, because the mean of its divisors is an integer number (48596740192).

Almost surely, 2^{28864601745408} 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 28864601745408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52484479407360).

28864601745408 is an abundant number, since it is smaller than the sum of its proper divisors (76104357069312).

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

28864601745408 is a wasteful number, since it uses less digits than its factorization.

28864601745408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 28864601745408 in words is "twenty-eight trillion, eight hundred sixty-four billion, six hundred one million, seven hundred forty-five thousand, four hundred eight".