1728467280 has 120 divisors (see below), whose sum is σ = 6005006280. Its totient is φ = 445025280.

The previous prime is 1728467267. The next prime is 1728467311. The reversal of 1728467280 is 827648271.

It can be written as a sum of positive squares in 4 ways, for example, as 21455424 + 1707011856 = 4632^2 + 41316^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20511 + ... + 62270.

It is an arithmetic number, because the mean of its divisors is an integer number (50041719).

Almost surely, 2^1728467280 is an apocalyptic number.

1728467280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1728467280 is an abundant number, since it is smaller than the sum of its proper divisors (4276539000).

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

1728467280 is a wasteful number, since it uses less digits than its factorization.

1728467280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82829 (or 82820 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1728467280 is about 41574.8395066054. The cubic root of 1728467280 is about 1200.1081569181.

The spelling of 1728467280 in words is "one billion, seven hundred twenty-eight million, four hundred sixty-seven thousand, two hundred eighty".