28339576012800 has 2304 divisors, whose sum is σ = 116284414821120. Its totient is φ = 6798169866240.

The previous prime is 28339576012639. The next prime is 28339576012801. The reversal of 28339576012800 is 821067593382.

28339576012800 is a `hidden beast` number, since 2 + 8 + 3 + 3 + 9 + 5 + 7 + 601 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is not an unprimeable number, because it can be changed into a prime (28339576012801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121629081484 + ... + 121629081716.

It is an arithmetic number, because the mean of its divisors is an integer number (50470666155).

Almost surely, 2^{28339576012800} is an apocalyptic number.

28339576012800 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 28339576012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58142207410560).

28339576012800 is an abundant number, since it is smaller than the sum of its proper divisors (87944838808320).

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

28339576012800 is an equidigital number, since it uses as much as digits as its factorization.

28339576012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28339576012800 in words is "twenty-eight trillion, three hundred thirty-nine billion, five hundred seventy-six million, twelve thousand, eight hundred".