1728740640 has 192 divisors, whose sum is σ = 6101827200. Its totient is φ = 407715840.

The previous prime is 1728740609. The next prime is 1728740701. The reversal of 1728740640 is 460478271.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190936 + ... + 199784.

It is an arithmetic number, because the mean of its divisors is an integer number (31780350).

Almost surely, 2^1728740640 is an apocalyptic number.

1728740640 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 1728740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050913600).

1728740640 is an abundant number, since it is smaller than the sum of its proper divisors (4373086560).

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

1728740640 is a wasteful number, since it uses less digits than its factorization.

1728740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8915 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 1728740640 is about 41578.1269419391. The cubic root of 1728740640 is about 1200.1714199559.

The spelling of 1728740640 in words is "one billion, seven hundred twenty-eight million, seven hundred forty thousand, six hundred forty".