28009664179200 has 660 divisors, whose sum is σ = 113145357521592. Its totient is φ = 6790216089600.

The previous prime is 28009664179187. The next prime is 28009664179229. The reversal of 28009664179200 is 297146690082.

28009664179200 is a `hidden beast` number, since 2 + 80 + 0 + 9 + 66 + 417 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 22195612 + ... + 23423588.

Almost surely, 2^{28009664179200} is an apocalyptic number.

28009664179200 is a gapful number since it is divisible by the number (20) 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 28009664179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56572678760796).

28009664179200 is an abundant number, since it is smaller than the sum of its proper divisors (85135693342392).

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

28009664179200 is a wasteful number, since it uses less digits than its factorization.

28009664179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228030 (or 1227998 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 28009664179200 in words is "twenty-eight trillion, nine billion, six hundred sixty-four million, one hundred seventy-nine thousand, two hundred".