28061333982144 has 168 divisors, whose sum is σ = 85174308086400. Its totient is φ = 8802499018752.

The previous prime is 28061333982137. The next prime is 28061333982151. The reversal of 28061333982144 is 44128933316082.

28061333982144 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 1 + 33 + 398 + 214 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (28061333982137) and next prime (28061333982151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83485332 + ... + 83820780.

Almost surely, 2^{28061333982144} is an apocalyptic number.

28061333982144 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 28061333982144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42587154043200).

28061333982144 is an abundant number, since it is smaller than the sum of its proper divisors (57112974104256).

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

28061333982144 is a wasteful number, since it uses less digits than its factorization.

28061333982144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344027 (or 344014 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 28061333982144 in words is "twenty-eight trillion, sixty-one billion, three hundred thirty-three million, nine hundred eighty-two thousand, one hundred forty-four".