1842827328 has 336 divisors, whose sum is σ = 6003950400. Its totient is φ = 552407040.

The previous prime is 1842827279. The next prime is 1842827339. The reversal of 1842827328 is 8237282481.

It is a congruent number.

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, 44946988 + ... + 44947028.

It is an arithmetic number, because the mean of its divisors is an integer number (17868900).

Almost surely, 2^1842827328 is an apocalyptic number.

1842827328 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 1842827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001975200).

1842827328 is an abundant number, since it is smaller than the sum of its proper divisors (4161123072).

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

1842827328 is a wasteful number, since it uses less digits than its factorization.

1842827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 102 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 1842827328 is about 42928.1647406455. The cubic root of 1842827328 is about 1226.0124525594.

The spelling of 1842827328 in words is "one billion, eight hundred forty-two million, eight hundred twenty-seven thousand, three hundred twenty-eight".