28344553079040 has 864 divisors, whose sum is σ = 107867533213440. Its totient is φ = 6814944460800.

The previous prime is 28344553079039. The next prime is 28344553079093. The reversal of 28344553079040 is 4097035544382.

28344553079040 is a `hidden beast` number, since 2 + 8 + 3 + 44 + 553 + 0 + 7 + 9 + 0 + 40 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8031891996 + ... + 8031895524.

It is an arithmetic number, because the mean of its divisors is an integer number (124846681960).

Almost surely, 2^{28344553079040} is an apocalyptic number.

28344553079040 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 28344553079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53933766606720).

28344553079040 is an abundant number, since it is smaller than the sum of its proper divisors (79522980134400).

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

28344553079040 is a wasteful number, since it uses less digits than its factorization.

28344553079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4071 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 28344553079040 in words is "twenty-eight trillion, three hundred forty-four billion, five hundred fifty-three million, seventy-nine thousand, forty".