2028800 has 54 divisors (see below), whose sum is σ = 5037438. Its totient is φ = 808960.

The previous prime is 2028781. The next prime is 2028809. The reversal of 2028800 is 88202.

It can be written as a sum of positive squares in 3 ways, for example, as 1024 + 2027776 = 32^2 + 1424^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6242 + ... + 6558.

2^2028800 is an apocalyptic number.

2028800 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 2028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518719).

2028800 is an abundant number, since it is smaller than the sum of its proper divisors (3008638).

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

2028800 is an equidigital number, since it uses as much as digits as its factorization.

2028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2028800 is about 1424.3595051812. The cubic root of 2028800 is about 126.5939872376.

The spelling of 2028800 in words is "two million, twenty-eight thousand, eight hundred".