28200128 has 56 divisors (see below), whose sum is σ = 62599824. Its totient is φ = 12492800.

The previous prime is 28200113. The next prime is 28200143. The reversal of 28200128 is 82100282.

It is an interprime number because it is at equal distance from previous prime (28200113) and next prime (28200143).

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 7 ways as a sum of consecutive naturals, for example, 28376 + ... + 29352.

It is an arithmetic number, because the mean of its divisors is an integer number (1117854).

Almost surely, 2^28200128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31299912).

28200128 is an abundant number, since it is smaller than the sum of its proper divisors (34399696).

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

28200128 is a wasteful number, since it uses less digits than its factorization.

28200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 28200128 is about 5310.3792708243. The cubic root of 28200128 is about 304.3806404654.

The spelling of 28200128 in words is "twenty-eight million, two hundred thousand, one hundred twenty-eight".