28301386272768 has 416 divisors, whose sum is σ = 97006906801920. Its totient is φ = 8086092447744.

The previous prime is 28301386272737. The next prime is 28301386272853. The reversal of 28301386272768 is 86727268310382.

28301386272768 is a `hidden beast` number, since 2 + 8 + 301 + 38 + 6 + 27 + 276 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 62479996 + ... + 62931332.

Almost surely, 2^{28301386272768} is an apocalyptic number.

28301386272768 is a gapful number since it is divisible by the number (28) 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 28301386272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48503453400960).

28301386272768 is an abundant number, since it is smaller than the sum of its proper divisors (68705520529152).

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

28301386272768 is an frugal number, since it uses more digits than its factorization.

28301386272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451389 (or 451349 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 28301386272768 in words is "twenty-eight trillion, three hundred one billion, three hundred eighty-six million, two hundred seventy-two thousand, seven hundred sixty-eight".