28304765629056 has 2304 divisors, whose sum is σ = 107869612032000. Its totient is φ = 7363212595200.

The previous prime is 28304765629043. The next prime is 28304765629073. The reversal of 28304765629056 is 65092656740382.

28304765629056 is a `hidden beast` number, since 28 + 3 + 0 + 47 + 6 + 562 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×28304765629056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 28304765628984 and 28304765629002.

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 287 ways as a sum of consecutive naturals, for example, 464012551266 + ... + 464012551326.

It is an arithmetic number, because the mean of its divisors is an integer number (46818408000).

Almost surely, 2^{28304765629056} 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 28304765629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53934806016000).

28304765629056 is an abundant number, since it is smaller than the sum of its proper divisors (79564846402944).

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

28304765629056 is an frugal number, since it uses more digits than its factorization.

28304765629056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 28304765629056 in words is "twenty-eight trillion, three hundred four billion, seven hundred sixty-five million, six hundred twenty-nine thousand, fifty-six".