1801728000 has 624 divisors, whose sum is σ = 7176102336. Its totient is φ = 432537600.

The previous prime is 1801727999. The next prime is 1801728031. The reversal of 1801728000 is 8271081.

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, 78335989 + ... + 78336011.

It is an arithmetic number, because the mean of its divisors is an integer number (11500164).

Almost surely, 2^1801728000 is an apocalyptic number.

1801728000 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 1801728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588051168).

1801728000 is an abundant number, since it is smaller than the sum of its proper divisors (5374374336).

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

1801728000 is a wasteful number, since it uses less digits than its factorization.

1801728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1801728000 is about 42446.7666613136. The cubic root of 1801728000 is about 1216.8295355453.

Adding to 1801728000 its reverse (8271081), we get a palindrome (1809999081).

The spelling of 1801728000 in words is "one billion, eight hundred one million, seven hundred twenty-eight thousand".