28132416000 has 1080 divisors, whose sum is σ = 116555574564. Its totient is φ = 6517555200.

The previous prime is 28132415947. The next prime is 28132416001. The reversal of 28132416000 is 61423182.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

28132416000 is a `hidden beast` number, since 2 + 8 + 13 + 2 + 41 + 600 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 11695124736 + 16437291264 = 108144^2 + 128208^2 .

It is not an unprimeable number, because it can be changed into a prime (28132416001) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1654847992 + ... + 1654848008.

Almost surely, 2^28132416000 is an apocalyptic number.

28132416000 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 28132416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58277787282).

28132416000 is an abundant number, since it is smaller than the sum of its proper divisors (88423158564).

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

28132416000 is a wasteful number, since it uses less digits than its factorization.

28132416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 28132416000 its reverse (61423182), we get a palindrome (28193839182).

The spelling of 28132416000 in words is "twenty-eight billion, one hundred thirty-two million, four hundred sixteen thousand".