28131408000 has 256 divisors, whose sum is σ = 103618944000. Its totient is φ = 7501593600.

The previous prime is 28131407977. The next prime is 28131408001. The reversal of 28131408000 is 80413182.

It is a super-2 number, since 2×28131408000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28131408001) 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 31 ways as a sum of consecutive naturals, for example, 399441 + ... + 464559.

It is an arithmetic number, because the mean of its divisors is an integer number (404761500).

Almost surely, 2^28131408000 is an apocalyptic number.

28131408000 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 28131408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51809472000).

28131408000 is an abundant number, since it is smaller than the sum of its proper divisors (75487536000).

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

28131408000 is an equidigital number, since it uses as much as digits as its factorization.

28131408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65157 (or 65129 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 28131408000 in words is "twenty-eight billion, one hundred thirty-one million, four hundred eight thousand".