28108800000 has 540 divisors, whose sum is σ = 103158249012. Its totient is φ = 7372800000.

The previous prime is 28108799993. The next prime is 28108800019. The reversal of 28108800000 is 880182.

It can be written as a sum of positive squares in 6 ways, for example, as 27646377984 + 462422016 = 166272^2 + 21504^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460799970 + ... + 460800030.

Almost surely, 2^28108800000 is an apocalyptic number.

28108800000 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 28108800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51579124506).

28108800000 is an abundant number, since it is smaller than the sum of its proper divisors (75049449012).

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

28108800000 is an frugal number, since it uses more digits than its factorization.

28108800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 28108800000 in words is "twenty-eight billion, one hundred eight million, eight hundred thousand".