28118200320 has 1248 divisors, whose sum is σ = 124303994880. Its totient is φ = 5733089280.

The previous prime is 28118200309. The next prime is 28118200349. The reversal of 28118200320 is 2300281182.

28118200320 is a `hidden beast` number, since 28 + 118 + 200 + 320 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 759951342 + ... + 759951378.

It is an arithmetic number, because the mean of its divisors is an integer number (99602560).

Almost surely, 2^28118200320 is an apocalyptic number.

28118200320 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 28118200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62151997440).

28118200320 is an abundant number, since it is smaller than the sum of its proper divisors (96185794560).

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

28118200320 is a wasteful number, since it uses less digits than its factorization.

28118200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 104 counting only the distinct ones).

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

The spelling of 28118200320 in words is "twenty-eight billion, one hundred eighteen million, two hundred thousand, three hundred twenty".