1842611328 has 160 divisors (see below), whose sum is σ = 5722738560. Its totient is φ = 587423232.

The previous prime is 1842611311. The next prime is 1842611333. The reversal of 1842611328 is 8231162481.

1842611328 is a `hidden beast` number, since 1 + 8 + 4 + 2 + 611 + 32 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1842611292 and 1842611301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 234601 + ... + 242327.

It is an arithmetic number, because the mean of its divisors is an integer number (35767116).

Almost surely, 2^1842611328 is an apocalyptic number.

1842611328 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 1842611328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861369280).

1842611328 is an abundant number, since it is smaller than the sum of its proper divisors (3880127232).

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

1842611328 is an equidigital number, since it uses as much as digits as its factorization.

1842611328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 7755 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1842611328 is about 42925.6488360980. The cubic root of 1842611328 is about 1225.9645498914.

The spelling of 1842611328 in words is "one billion, eight hundred forty-two million, six hundred eleven thousand, three hundred twenty-eight".