1842328800 has 432 divisors, whose sum is σ = 7265316240. Its totient is φ = 453496320.

The previous prime is 1842328799. The next prime is 1842328837. The reversal of 1842328800 is 88232481.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141717594 + ... + 141717606.

Almost surely, 2^1842328800 is an apocalyptic number.

1842328800 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 1842328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632658120).

1842328800 is an abundant number, since it is smaller than the sum of its proper divisors (5422987440).

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

1842328800 is an frugal number, since it uses more digits than its factorization.

1842328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1842328800 is about 42922.3578103533. The cubic root of 1842328800 is about 1225.9018875507.

The spelling of 1842328800 in words is "one billion, eight hundred forty-two million, three hundred twenty-eight thousand, eight hundred".