1828341000 has 192 divisors, whose sum is σ = 6298035120. Its totient is φ = 478233600.

The previous prime is 1828340999. The next prime is 1828341019. The reversal of 1828341000 is 1438281.

It can be written as a sum of positive squares in 8 ways, for example, as 37527876 + 1790813124 = 6126^2 + 42318^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475084 + ... + 478916.

Almost surely, 2^1828341000 is an apocalyptic number.

1828341000 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 1828341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149017560).

1828341000 is an abundant number, since it is smaller than the sum of its proper divisors (4469694120).

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

1828341000 is a wasteful number, since it uses less digits than its factorization.

1828341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1828341000 is about 42759.1042937057. The cubic root of 1828341000 is about 1222.7914670057.

Adding to 1828341000 its reverse (1438281), we get a palindrome (1829779281).

The spelling of 1828341000 in words is "one billion, eight hundred twenty-eight million, three hundred forty-one thousand".