1728548640 has 384 divisors, whose sum is σ = 7447749120. Its totient is φ = 364621824.

The previous prime is 1728548639. The next prime is 1728548651. The reversal of 1728548640 is 468458271.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390922 + ... + 395318.

It is an arithmetic number, because the mean of its divisors is an integer number (19395180).

Almost surely, 2^1728548640 is an apocalyptic number.

1728548640 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 1728548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723874560).

1728548640 is an abundant number, since it is smaller than the sum of its proper divisors (5719200480).

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

1728548640 is a wasteful number, since it uses less digits than its factorization.

1728548640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1728548640 is about 41575.8179715084. The cubic root of 1728548640 is about 1200.1269865615.

The spelling of 1728548640 in words is "one billion, seven hundred twenty-eight million, five hundred forty-eight thousand, six hundred forty".