4128200 has 24 divisors (see below), whose sum is σ = 9598530. Its totient is φ = 1651200.

The previous prime is 4128199. The next prime is 4128217. The reversal of 4128200 is 28214.

It can be written as a sum of positive squares in 3 ways, for example, as 2316484 + 1811716 = 1522^2 + 1346^2 .

It is a super-3 number, since 3×4128200³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10121 + ... + 10520.

Almost surely, 2^4128200 is an apocalyptic number.

4128200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4128200 is an abundant number, since it is smaller than the sum of its proper divisors (5470330).

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

4128200 is a wasteful number, since it uses less digits than its factorization.

4128200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20657 (or 20648 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 4128200 is about 2031.7972339778. The cubic root of 4128200 is about 160.4181769315.

The spelling of 4128200 in words is "four million, one hundred twenty-eight thousand, two hundred".