28276040991744 has 3168 divisors, whose sum is σ = 114875982748800. Its totient is φ = 6862507868160.

The previous prime is 28276040991719. The next prime is 28276040991749. The reversal of 28276040991744 is 44719904067282.

28276040991744 is a `hidden beast` number, since 2 + 8 + 2 + 7 + 604 + 0 + 9 + 9 + 17 + 4 + 4 = 666.

It is a super-2 number, since 2×28276040991744² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (28276040991749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 123476161422 + ... + 123476161650.

Almost surely, 2^{28276040991744} is an apocalyptic number.

28276040991744 is a gapful number since it is divisible by the number (24) 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 28276040991744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57437991374400).

28276040991744 is an abundant number, since it is smaller than the sum of its proper divisors (86599941757056).

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

28276040991744 is a wasteful number, since it uses less digits than its factorization.

28276040991744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 28276040991744 in words is "twenty-eight trillion, two hundred seventy-six billion, forty million, nine hundred ninety-one thousand, seven hundred forty-four".