28147432768000 has 640 divisors, whose sum is σ = 87426749329920. Its totient is φ = 8800719667200.

The previous prime is 28147432767997. The next prime is 28147432768019. The reversal of 28147432768000 is 86723474182.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (52).

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 63 ways as a sum of consecutive naturals, for example, 483362886 + ... + 483421114.

It is an arithmetic number, because the mean of its divisors is an integer number (136604295828).

Almost surely, 2^{28147432768000} is an apocalyptic number.

28147432768000 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 28147432768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43713374664960).

28147432768000 is an abundant number, since it is smaller than the sum of its proper divisors (59279316561920).

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

28147432768000 is an equidigital number, since it uses as much as digits as its factorization.

28147432768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58365 (or 58339 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 52.

The spelling of 28147432768000 in words is "twenty-eight trillion, one hundred forty-seven billion, four hundred thirty-two million, seven hundred sixty-eight thousand".