28146083328 has 240 divisors, whose sum is σ = 90296805456. Its totient is φ = 8367390720.

The previous prime is 28146083297. The next prime is 28146083351. The reversal of 28146083328 is 82338064182.

28146083328 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 608 + 3 + 32 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2681226 + ... + 2691702.

Almost surely, 2^28146083328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28146083328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45148402728).

28146083328 is an abundant number, since it is smaller than the sum of its proper divisors (62150722128).

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

28146083328 is a wasteful number, since it uses less digits than its factorization.

28146083328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10565 (or 10546 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28146083328 in words is "twenty-eight billion, one hundred forty-six million, eighty-three thousand, three hundred twenty-eight".