28668361233600 has 1344 divisors, whose sum is σ = 118105797173760. Its totient is φ = 6787888128000.

The previous prime is 28668361233569. The next prime is 28668361233613. The reversal of 28668361233600 is 633216386682.

28668361233600 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 8 + 3 + 6 + 1 + 23 + 3 + 600 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1655112940 + ... + 1655130260.

Almost surely, 2^{28668361233600} is an apocalyptic number.

28668361233600 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 28668361233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59052898586880).

28668361233600 is an abundant number, since it is smaller than the sum of its proper divisors (89437435940160).

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

28668361233600 is a wasteful number, since it uses less digits than its factorization.

28668361233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17418 (or 17385 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 28668361233600 in words is "twenty-eight trillion, six hundred sixty-eight billion, three hundred sixty-one million, two hundred thirty-three thousand, six hundred".