1728442800 has 300 divisors, whose sum is σ = 7090350256. Its totient is φ = 395020800.

The previous prime is 1728442777. The next prime is 1728442823. The reversal of 1728442800 is 82448271.

It is an interprime number because it is at equal distance from previous prime (1728442777) and next prime (1728442823).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 222990 + ... + 230610.

Almost surely, 2^1728442800 is an apocalyptic number.

1728442800 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 1728442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545175128).

1728442800 is an abundant number, since it is smaller than the sum of its proper divisors (5361907456).

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

1728442800 is a wasteful number, since it uses less digits than its factorization.

1728442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7658 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1728442800 is about 41574.5450967296. The cubic root of 1728442800 is about 1200.1024912460.

The spelling of 1728442800 in words is "one billion, seven hundred twenty-eight million, four hundred forty-two thousand, eight hundred".