28324009082880 has 1152 divisors, whose sum is σ = 116666337191040. Its totient is φ = 6457751764992.

The previous prime is 28324009082861. The next prime is 28324009082911. The reversal of 28324009082880 is 8828090042382.

28324009082880 is a `hidden beast` number, since 2 + 83 + 2 + 400 + 9 + 0 + 82 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71345110842 + ... + 71345111238.

It is an arithmetic number, because the mean of its divisors is an integer number (101272862145).

Almost surely, 2^{28324009082880} is an apocalyptic number.

28324009082880 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 28324009082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58333168595520).

28324009082880 is an abundant number, since it is smaller than the sum of its proper divisors (88342328108160).

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

28324009082880 is an frugal number, since it uses more digits than its factorization.

28324009082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 28324009082880 in words is "twenty-eight trillion, three hundred twenty-four billion, nine million, eighty-two thousand, eight hundred eighty".