28478149776864 has 768 divisors, whose sum is σ = 93791343744000. Its totient is φ = 8353349959680.

The previous prime is 28478149776821. The next prime is 28478149776877. The reversal of 28478149776864 is 46867794187482.

28478149776864 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 8 + 1 + 497 + 7 + 68 + 64 = 666.

It is a super-2 number, since 2×28478149776864² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25358993007 + ... + 25358994129.

It is an arithmetic number, because the mean of its divisors is an integer number (122124145500).

Almost surely, 2^{28478149776864} is an apocalyptic number.

28478149776864 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 28478149776864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46895671872000).

28478149776864 is an abundant number, since it is smaller than the sum of its proper divisors (65313193967136).

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

28478149776864 is a wasteful number, since it uses less digits than its factorization.

28478149776864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2288 (or 2274 counting only the distinct ones).

The product of its digits is 7283146752, while the sum is 81.

The spelling of 28478149776864 in words is "twenty-eight trillion, four hundred seventy-eight billion, one hundred forty-nine million, seven hundred seventy-six thousand, eight hundred sixty-four".