28965094436736 has 384 divisors, whose sum is σ = 89963708590080. Its totient is φ = 8919009792000.

The previous prime is 28965094436699. The next prime is 28965094436741. The reversal of 28965094436736 is 63763449056982.

28965094436736 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 509 + 4 + 43 + 6 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 403259706 + ... + 403331526.

It is an arithmetic number, because the mean of its divisors is an integer number (234280491120).

Almost surely, 2^{28965094436736} 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 28965094436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44981854295040).

28965094436736 is an abundant number, since it is smaller than the sum of its proper divisors (60998614153344).

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

28965094436736 is a wasteful number, since it uses less digits than its factorization.

28965094436736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72386 (or 72371 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 72.

The spelling of 28965094436736 in words is "twenty-eight trillion, nine hundred sixty-five billion, ninety-four million, four hundred thirty-six thousand, seven hundred thirty-six".