2028787200 has 360 divisors, whose sum is σ = 7925459256. Its totient is φ = 491520000.

The previous prime is 2028787169. The next prime is 2028787207. The reversal of 2028787200 is 27878202.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028787207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1266400 + ... + 1268000.

Almost surely, 2^2028787200 is an apocalyptic number.

2028787200 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 2028787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962729628).

2028787200 is an abundant number, since it is smaller than the sum of its proper divisors (5896672056).

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

2028787200 is a wasteful number, since it uses less digits than its factorization.

2028787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2028787200 is about 45042.0603436388. The cubic root of 2028787200 is about 1265.9372100362.

The spelling of 2028787200 in words is "two billion, twenty-eight million, seven hundred eighty-seven thousand, two hundred".