1728251280 has 480 divisors, whose sum is σ = 7337101824. Its totient is φ = 355221504.

The previous prime is 1728251279. The next prime is 1728251339. The reversal of 1728251280 is 821528271.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1970202 + ... + 1971078.

Almost surely, 2^1728251280 is an apocalyptic number.

1728251280 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 1728251280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668550912).

1728251280 is an abundant number, since it is smaller than the sum of its proper divisors (5608850544).

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

1728251280 is a wasteful number, since it uses less digits than its factorization.

1728251280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1728251280 is about 41572.2417004424. The cubic root of 1728251280 is about 1200.0581638474.

The spelling of 1728251280 in words is "one billion, seven hundred twenty-eight million, two hundred fifty-one thousand, two hundred eighty".