28944545287680 has 3200 divisors, whose sum is σ = 125258097254400. Its totient is φ = 6358951526400.

The previous prime is 28944545287643. The next prime is 28944545287703. The reversal of 28944545287680 is 8678254544982.

It is a happy number.

28944545287680 is a `hidden beast` number, since 2 + 8 + 9 + 4 + 4 + 545 + 2 + 8 + 76 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28944545287599 and 28944545287608.

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 145449976221 + ... + 145449976419.

It is an arithmetic number, because the mean of its divisors is an integer number (39143155392).

Almost surely, 2^{28944545287680} is an apocalyptic number.

28944545287680 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 28944545287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62629048627200).

28944545287680 is an abundant number, since it is smaller than the sum of its proper divisors (96313551966720).

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

28944545287680 is a wasteful number, since it uses less digits than its factorization.

28944545287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 28944545287680 in words is "twenty-eight trillion, nine hundred forty-four billion, five hundred forty-five million, two hundred eighty-seven thousand, six hundred eighty".