2028672 has 64 divisors (see below), whose sum is σ = 5997600. Its totient is φ = 675072.

The previous prime is 2028667. The next prime is 2028679. The reversal of 2028672 is 2768202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2028679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3163 + ... + 3749.

2^2028672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998800).

2028672 is an abundant number, since it is smaller than the sum of its proper divisors (3968928).

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

2028672 is an equidigital number, since it uses as much as digits as its factorization.

2028672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2028672 is about 1424.3145719959. The cubic root of 2028672 is about 126.5913248475.

The spelling of 2028672 in words is "two million, twenty-eight thousand, six hundred seventy-two".