2028144 has 80 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 618240.

The previous prime is 2028139. The next prime is 2028179. The reversal of 2028144 is 4418202.

It is a super-2 number, since 2×2028144² = 8226736169472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2028144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43129 + ... + 43175.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

2^2028144 is an apocalyptic number.

2028144 is a gapful number since it is divisible by the number (24) 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 2028144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2028144 is an abundant number, since it is smaller than the sum of its proper divisors (3685776).

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

2028144 is a wasteful number, since it uses less digits than its factorization.

2028144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2028144 is about 1424.1292076213. The cubic root of 2028144 is about 126.5803413044.

The spelling of 2028144 in words is "two million, twenty-eight thousand, one hundred forty-four".