28269468801 has 256 divisors, whose sum is σ = 54743040000. Its totient is φ = 14055213312.

The previous prime is 28269468749. The next prime is 28269468833. The reversal of 28269468801 is 10886496282.

It is not a de Polignac number, because 28269468801 - 2⁶ = 28269468737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (28269468841) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 264200590 + ... + 264200696.

It is an arithmetic number, because the mean of its divisors is an integer number (213840000).

Almost surely, 2^28269468801 is an apocalyptic number.

28269468801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

28269468801 is a deficient number, since it is larger than the sum of its proper divisors (26473571199).

28269468801 is a wasteful number, since it uses less digits than its factorization.

28269468801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 28269468801 in words is "twenty-eight billion, two hundred sixty-nine million, four hundred sixty-eight thousand, eight hundred one".