6028200 has 144 divisors (see below), whose sum is σ = 21544380. Its totient is φ = 1505280.

The previous prime is 6028193. The next prime is 6028219. The reversal of 6028200 is 28206.

It can be written as a sum of positive squares in 6 ways, for example, as 4848804 + 1179396 = 2202^2 + 1086^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30502 + ... + 30698.

Almost surely, 2^6028200 is an apocalyptic number.

6028200 is a gapful number since it is divisible by the number (60) 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 6028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10772190).

6028200 is an abundant number, since it is smaller than the sum of its proper divisors (15516180).

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

6028200 is a wasteful number, since it uses less digits than its factorization.

6028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6028200 is about 2455.2392958732. The cubic root of 6028200 is about 181.9962966682.

The spelling of 6028200 in words is "six million, twenty-eight thousand, two hundred".