28961037546912 has 768 divisors, whose sum is σ = 96253194240000. Its totient is φ = 8416506839040.

The previous prime is 28961037546877. The next prime is 28961037546953. The reversal of 28961037546912 is 21964573016982.

28961037546912 is a `hidden beast` number, since 2 + 8 + 9 + 610 + 3 + 7 + 5 + 4 + 6 + 9 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28961037546912.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3144857764 + ... + 3144866972.

It is an arithmetic number, because the mean of its divisors is an integer number (125329680000).

It is a 1-persistent number, because it is pandigital, but 2⋅28961037546912 = 57922075093824 is not.

Almost surely, 2^{28961037546912} 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 28961037546912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48126597120000).

28961037546912 is an abundant number, since it is smaller than the sum of its proper divisors (67292156693088).

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

28961037546912 is a wasteful number, since it uses less digits than its factorization.

28961037546912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9514 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 28961037546912 in words is "twenty-eight trillion, nine hundred sixty-one billion, thirty-seven million, five hundred forty-six thousand, nine hundred twelve".