4028200 has 48 divisors (see below), whose sum is σ = 10222560. Its totient is φ = 1464000.

The previous prime is 4028191. The next prime is 4028221. The reversal of 4028200 is 28204.

4028200 = 55² + 56² + ... + 230².

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1285 + ... + 3115.

It is an arithmetic number, because the mean of its divisors is an integer number (212970).

Almost surely, 2^4028200 is an apocalyptic number.

4028200 is a gapful number since it is divisible by the number (40) 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 4028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111280).

4028200 is an abundant number, since it is smaller than the sum of its proper divisors (6194360).

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

4028200 is a wasteful number, since it uses less digits than its factorization.

4028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4028200 is about 2007.0376179833. The cubic root of 4028200 is about 159.1122712193.

The spelling of 4028200 in words is "four million, twenty-eight thousand, two hundred".