2028400 has 60 divisors (see below), whose sum is σ = 5327784. Its totient is φ = 736000.

The previous prime is 2028391. The next prime is 2028401. The reversal of 2028400 is 48202.

It is a super-2 number, since 2×2028400² = 8228813120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4170 + ... + 4630.

2^2028400 is an apocalyptic number.

2028400 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 2028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663892).

2028400 is an abundant number, since it is smaller than the sum of its proper divisors (3299384).

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

2028400 is a wasteful number, since it uses less digits than its factorization.

2028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2028400 is about 1424.2190842704. The cubic root of 2028400 is about 126.5856668966.

The spelling of 2028400 in words is "two million, twenty-eight thousand, four hundred".