1842841728 has 192 divisors, whose sum is σ = 6527102400. Its totient is φ = 485996544.

The previous prime is 1842841723. The next prime is 1842841729. The reversal of 1842841728 is 8271482481.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1842841723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96043 + ... + 113621.

It is an arithmetic number, because the mean of its divisors is an integer number (33995325).

Almost surely, 2^1842841728 is an apocalyptic number.

1842841728 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 1842841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3263551200).

1842841728 is an abundant number, since it is smaller than the sum of its proper divisors (4684260672).

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

1842841728 is a wasteful number, since it uses less digits than its factorization.

1842841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17619 (or 17604 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 1842841728 is about 42928.3324623727. The cubic root of 1842841728 is about 1226.0156459375.

The spelling of 1842841728 in words is "one billion, eight hundred forty-two million, eight hundred forty-one thousand, seven hundred twenty-eight".