28705845133056 has 1152 divisors, whose sum is σ = 98907151974400. Its totient is φ = 7340046336000.

The previous prime is 28705845133033. The next prime is 28705845133057. The reversal of 28705845133056 is 65033154850782.

It is a junction number, because it is equal to n+sod(n) for n = 28705845132987 and 28705845133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28705845133057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22235355771 + ... + 22235357061.

Almost surely, 2^{28705845133056} is an apocalyptic number.

28705845133056 is a gapful number since it is divisible by the number (26) 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 28705845133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49453575987200).

28705845133056 is an abundant number, since it is smaller than the sum of its proper divisors (70201306841344).

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

28705845133056 is a wasteful number, since it uses less digits than its factorization.

28705845133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 57.

The spelling of 28705845133056 in words is "twenty-eight trillion, seven hundred five billion, eight hundred forty-five million, one hundred thirty-three thousand, fifty-six".