28911168000 has 1440 divisors, whose sum is σ = 127565710272. Its totient is φ = 6469632000.

The previous prime is 28911167959. The next prime is 28911168001. The reversal of 28911168000 is 86111982.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28911168001) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2223935994 + ... + 2223936006.

Almost surely, 2^28911168000 is an apocalyptic number.

28911168000 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 28911168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63782855136).

28911168000 is an abundant number, since it is smaller than the sum of its proper divisors (98654542272).

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

28911168000 is an equidigital number, since it uses as much as digits as its factorization.

28911168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 28911168000 its reverse (86111982), we get a palindrome (28997279982).

The spelling of 28911168000 in words is "twenty-eight billion, nine hundred eleven million, one hundred sixty-eight thousand".