2028387200 has 192 divisors, whose sum is σ = 5800878720. Its totient is φ = 686438400.

The previous prime is 2028387191. The next prime is 2028387233. The reversal of 2028387200 is 27838202.

It is a super-2 number, since 2×2028387200² = 8228709266247680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858655 + ... + 1859745.

It is an arithmetic number, because the mean of its divisors is an integer number (30212910).

Almost surely, 2^2028387200 is an apocalyptic number.

2028387200 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 2028387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900439360).

2028387200 is an abundant number, since it is smaller than the sum of its proper divisors (3772491520).

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

2028387200 is a wasteful number, since it uses less digits than its factorization.

2028387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 2028387200 is about 45037.6198305372. The cubic root of 2028387200 is about 1265.8540062767.

The spelling of 2028387200 in words is "two billion, twenty-eight million, three hundred eighty-seven thousand, two hundred".