28265189544864 has 336 divisors, whose sum is σ = 84263862247488. Its totient is φ = 9327953488896.

The previous prime is 28265189544859. The next prime is 28265189544877. The reversal of 28265189544864 is 46844598156282.

28265189544864 is a `hidden beast` number, since 2 + 8 + 2 + 6 + 5 + 18 + 9 + 544 + 8 + 64 = 666.

It is a super-3 number, since 3×28265189544864³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28265189544792 and 28265189544801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6532281069 + ... + 6532285395.

It is an arithmetic number, because the mean of its divisors is an integer number (250785304308).

Almost surely, 2^{28265189544864} is an apocalyptic number.

28265189544864 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 28265189544864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131931123744).

28265189544864 is an abundant number, since it is smaller than the sum of its proper divisors (55998672702624).

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

28265189544864 is a wasteful number, since it uses less digits than its factorization.

28265189544864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7079 (or 7056 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 28265189544864 in words is "twenty-eight trillion, two hundred sixty-five billion, one hundred eighty-nine million, five hundred forty-four thousand, eight hundred sixty-four".