28089673968480 has 96 divisors (see below), whose sum is σ = 88524873126144. Its totient is φ = 7486990296576.

The previous prime is 28089673968457. The next prime is 28089673968509. The reversal of 28089673968480 is 8486937698082.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 28089673968396 and 28089673968405.

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 15 ways as a sum of consecutive naturals, for example, 13018402 + ... + 15021921.

It is an arithmetic number, because the mean of its divisors is an integer number (922134095064).

Almost surely, 2^{28089673968480} is an apocalyptic number.

28089673968480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28089673968480 is an abundant number, since it is smaller than the sum of its proper divisors (60435199157664).

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

28089673968480 is a wasteful number, since it uses less digits than its factorization.

28089673968480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28042428 (or 28042420 counting only the distinct ones).

The product of its (nonzero) digits is 2006581248, while the sum is 78.

The spelling of 28089673968480 in words is "twenty-eight trillion, eighty-nine billion, six hundred seventy-three million, nine hundred sixty-eight thousand, four hundred eighty".