28139836114944 has 144 divisors (see below), whose sum is σ = 81277209140400. Its totient is φ = 9379461095424.

The previous prime is 28139836114927. The next prime is 28139836115003. The reversal of 28139836114944 is 44941163893182.

28139836114944 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 9 + 8 + 3 + 611 + 4 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 631439607 + ... + 631484169.

It is an arithmetic number, because the mean of its divisors is an integer number (564425063475).

Almost surely, 2^{28139836114944} is an apocalyptic number.

28139836114944 is a gapful number since it is divisible by the number (24) 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 28139836114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40638604570200).

28139836114944 is an abundant number, since it is smaller than the sum of its proper divisors (53137373025456).

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

28139836114944 is a wasteful number, since it uses less digits than its factorization.

28139836114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78850 (or 78827 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 28139836114944 in words is "twenty-eight trillion, one hundred thirty-nine billion, eight hundred thirty-six million, one hundred fourteen thousand, nine hundred forty-four".