1728895104 has 240 divisors, whose sum is σ = 5475096330. Its totient is φ = 541458432.

The previous prime is 1728895099. The next prime is 1728895111. The reversal of 1728895104 is 4015988271.

It can be written as a sum of positive squares in 3 ways, for example, as 1619901504 + 108993600 = 40248^2 + 10440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1728895104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2996064 + ... + 2996640.

Almost surely, 2^1728895104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737548165).

1728895104 is an abundant number, since it is smaller than the sum of its proper divisors (3746201226).

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

1728895104 is an equidigital number, since it uses as much as digits as its factorization.

1728895104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1728895104 is about 41579.9844155815. The cubic root of 1728895104 is about 1200.2071642338.

The spelling of 1728895104 in words is "one billion, seven hundred twenty-eight million, eight hundred ninety-five thousand, one hundred four".