28148166339840 has 864 divisors, whose sum is σ = 99708415672320. Its totient is φ = 7329930854400.

The previous prime is 28148166339827. The next prime is 28148166339863. The reversal of 28148166339840 is 4893366184182.

28148166339840 is a `hidden beast` number, since 2 + 8 + 1 + 48 + 166 + 3 + 398 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 60795175449 + ... + 60795175911.

It is an arithmetic number, because the mean of its divisors is an integer number (115403258880).

Almost surely, 2^{28148166339840} is an apocalyptic number.

28148166339840 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 28148166339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49854207836160).

28148166339840 is an abundant number, since it is smaller than the sum of its proper divisors (71560249332480).

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

28148166339840 is a wasteful number, since it uses less digits than its factorization.

28148166339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 28148166339840 in words is "twenty-eight trillion, one hundred forty-eight billion, one hundred sixty-six million, three hundred thirty-nine thousand, eight hundred forty".