28671441120 has 288 divisors, whose sum is σ = 118396893888. Its totient is φ = 6167937024.

The previous prime is 28671441109. The next prime is 28671441121. The reversal of 28671441120 is 2114417682.

It is a happy number.

28671441120 is a `hidden beast` number, since 28 + 6 + 71 + 441 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28671441121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 87702 + ... + 255018.

It is an arithmetic number, because the mean of its divisors is an integer number (411100326).

Almost surely, 2^28671441120 is an apocalyptic number.

28671441120 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 28671441120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59198446944).

28671441120 is an abundant number, since it is smaller than the sum of its proper divisors (89725452768).

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

28671441120 is a wasteful number, since it uses less digits than its factorization.

28671441120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167362 (or 167351 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 28671441120 in words is "twenty-eight billion, six hundred seventy-one million, four hundred forty-one thousand, one hundred twenty".