28097060275296 has 768 divisors, whose sum is σ = 92990050272000. Its totient is φ = 8209477140480.

The previous prime is 28097060275261. The next prime is 28097060275301. The reversal of 28097060275296 is 69257206079082.

28097060275296 is a `hidden beast` number, since 2 + 8 + 0 + 9 + 70 + 6 + 0 + 275 + 296 = 666.

It is a super-4 number, since 4×28097060275296⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1554289810 + ... + 1554307886.

It is an arithmetic number, because the mean of its divisors is an integer number (121080794625).

Almost surely, 2^{28097060275296} 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 28097060275296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46495025136000).

28097060275296 is an abundant number, since it is smaller than the sum of its proper divisors (64892989996704).

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

28097060275296 is a wasteful number, since it uses less digits than its factorization.

28097060275296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18272 (or 18258 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 28097060275296 in words is "twenty-eight trillion, ninety-seven billion, sixty million, two hundred seventy-five thousand, two hundred ninety-six".