2028396800 has 54 divisors (see below), whose sum is σ = 5020614858. Its totient is φ = 811356160.

The previous prime is 2028396791. The next prime is 2028396823. The reversal of 2028396800 is 86938202.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 15618304 + 2012778496 = 3952^2 + 44864^2 .

It is a super-2 number, since 2×2028396800² = 8228787156500480000, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 152069 + ... + 164868.

Almost surely, 2^2028396800 is an apocalyptic number.

2028396800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2028396800 is an abundant number, since it is smaller than the sum of its proper divisors (2992218058).

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

2028396800 is an equidigital number, since it uses as much as digits as its factorization.

2028396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316963 (or 316944 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 2028396800 is about 45037.7264079793. The cubic root of 2028396800 is about 1265.8560032950.

The spelling of 2028396800 in words is "two billion, twenty-eight million, three hundred ninety-six thousand, eight hundred".