1803628200 has 288 divisors, whose sum is σ = 6445971360. Its totient is φ = 413683200.

The previous prime is 1803628199. The next prime is 1803628201. The reversal of 1803628200 is 28263081.

It is an interprime number because it is at equal distance from previous prime (1803628199) and next prime (1803628201).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1803628201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2382222 + ... + 2382978.

It is an arithmetic number, because the mean of its divisors is an integer number (22381845).

Almost surely, 2^1803628200 is an apocalyptic number.

1803628200 is a gapful number since it is divisible by the number (10) 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 1803628200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222985680).

1803628200 is an abundant number, since it is smaller than the sum of its proper divisors (4642343160).

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

1803628200 is a wasteful number, since it uses less digits than its factorization.

1803628200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1803628200 is about 42469.1440930942. The cubic root of 1803628200 is about 1217.2571633736.

It can be divided in two parts, 1803 and 628200, that added together give a triangular number (630003 = T₁₁₂₂).

The spelling of 1803628200 in words is "one billion, eight hundred three million, six hundred twenty-eight thousand, two hundred".