28750546944000 has 2880 divisors, whose sum is σ = 126149028445440. Its totient is φ = 6521389056000.

The previous prime is 28750546943957. The next prime is 28750546944059. The reversal of 28750546944000 is 44964505782.

28750546944000 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 0 + 546 + 94 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219469823935 + ... + 219469824065.

It is an arithmetic number, because the mean of its divisors is an integer number (43801745988).

Almost surely, 2^{28750546944000} is an apocalyptic number.

28750546944000 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 28750546944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63074514222720).

28750546944000 is an abundant number, since it is smaller than the sum of its proper divisors (97398481501440).

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

28750546944000 is an frugal number, since it uses more digits than its factorization.

28750546944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 28750546944000 in words is "twenty-eight trillion, seven hundred fifty billion, five hundred forty-six million, nine hundred forty-four thousand".