28039844851200 has 1440 divisors, whose sum is σ = 124058430752256. Its totient is φ = 5889537146880.

The previous prime is 28039844851189. The next prime is 28039844851201. The reversal of 28039844851200 is 215844893082.

28039844851200 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 9 + 84 + 48 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28039844851201) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2379680509 + ... + 2379692291.

Almost surely, 2^{28039844851200} is an apocalyptic number.

28039844851200 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 28039844851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62029215376128).

28039844851200 is an abundant number, since it is smaller than the sum of its proper divisors (96018585901056).

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

28039844851200 is a wasteful number, since it uses less digits than its factorization.

28039844851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12064 (or 12040 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 28039844851200 in words is "twenty-eight trillion, thirty-nine billion, eight hundred forty-four million, eight hundred fifty-one thousand, two hundred".