1728650560 has 448 divisors, whose sum is σ = 5530291200. Its totient is φ = 499580928.

The previous prime is 1728650557. The next prime is 1728650579. The reversal of 1728650560 is 650568271.

1728650560 = T₃₉₁ + T₃₉₂ + ... + T₂₁₈₄.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 19422996 + ... + 19423084.

It is an arithmetic number, because the mean of its divisors is an integer number (12344400).

Almost surely, 2^1728650560 is an apocalyptic number.

1728650560 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 1728650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765145600).

1728650560 is an abundant number, since it is smaller than the sum of its proper divisors (3801640640).

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

1728650560 is a wasteful number, since it uses less digits than its factorization.

1728650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 1728650560 is about 41577.0436659462. The cubic root of 1728650560 is about 1200.1505736981.

The spelling of 1728650560 in words is "one billion, seven hundred twenty-eight million, six hundred fifty thousand, five hundred sixty".