28864741323264 has 1440 divisors, whose sum is σ = 106942112766720. Its totient is φ = 6864241950720.

The previous prime is 28864741323263. The next prime is 28864741323277. The reversal of 28864741323264 is 46232314746882.

It is a super-2 number, since 2×28864741323264² (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28864741323198 and 28864741323207.

It is not an unprimeable number, because it can be changed into a prime (28864741323263) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5728265257 + ... + 5728270295.

It is an arithmetic number, because the mean of its divisors is an integer number (74265356088).

Almost surely, 2^{28864741323264} is an apocalyptic number.

28864741323264 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 28864741323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53471056383360).

28864741323264 is an abundant number, since it is smaller than the sum of its proper divisors (78077371443456).

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

28864741323264 is a wasteful number, since it uses less digits than its factorization.

28864741323264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5116 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 60.

The spelling of 28864741323264 in words is "twenty-eight trillion, eight hundred sixty-four billion, seven hundred forty-one million, three hundred twenty-three thousand, two hundred sixty-four".