28134144000 has 288 divisors, whose sum is σ = 101416507920. Its totient is φ = 7501824000.

The previous prime is 28134143977. The next prime is 28134144001. The reversal of 28134144000 is 44143182.

28134144000 is a `hidden beast` number, since 281 + 341 + 4 + 40 + 0 + 0 = 666.

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

It is a super-2 number, since 2×28134144000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28134144001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2297895 + ... + 2310105.

Almost surely, 2^28134144000 is an apocalyptic number.

28134144000 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 28134144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50708253960).

28134144000 is an abundant number, since it is smaller than the sum of its proper divisors (73282363920).

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

28134144000 is a wasteful number, since it uses less digits than its factorization.

28134144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12254 (or 12221 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 28134144000 its reverse (44143182), we get a palindrome (28178287182).

The spelling of 28134144000 in words is "twenty-eight billion, one hundred thirty-four million, one hundred forty-four thousand".