1800827028 has 432 divisors, whose sum is σ = 6378765120. Its totient is φ = 424448640.

The previous prime is 1800827023. The next prime is 1800827047. The reversal of 1800827028 is 8207280081.

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

It is a junction number, because it is equal to n+sod(n) for n = 1800826983 and 1800827001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800827023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30522463 + ... + 30522521.

It is an arithmetic number, because the mean of its divisors is an integer number (14765660).

Almost surely, 2^1800827028 is an apocalyptic number.

1800827028 is a gapful number since it is divisible by the number (18) 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 1800827028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189382560).

1800827028 is an abundant number, since it is smaller than the sum of its proper divisors (4577938092).

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

1800827028 is a wasteful number, since it uses less digits than its factorization.

1800827028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1800827028 is about 42436.1523703552. The cubic root of 1800827028 is about 1216.6266724911.

It can be divided in two parts, 1800 and 827028, that added together give a palindrome (828828).

The spelling of 1800827028 in words is "one billion, eight hundred million, eight hundred twenty-seven thousand, twenty-eight".