2028100 has 36 divisors (see below), whose sum is σ = 4663764. Its totient is φ = 762880.

The previous prime is 2028077. The next prime is 2028101. The reversal of 2028100 is 18202.

It can be written as a sum of positive squares in 6 ways, for example, as 324 + 2027776 = 18^2 + 1424^2 .

It is a super-2 number, since 2×2028100² = 8226379220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1104 + ... + 2296.

It is an arithmetic number, because the mean of its divisors is an integer number (129549).

2^2028100 is an apocalyptic number.

2028100 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 2028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331882).

2028100 is an abundant number, since it is smaller than the sum of its proper divisors (2635664).

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

2028100 is a wasteful number, since it uses less digits than its factorization.

2028100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2028100 is about 1424.1137595010. The cubic root of 2028100 is about 126.5794259231.

The spelling of 2028100 in words is "two million, twenty-eight thousand, one hundred".