1724662728 has 72 divisors (see below), whose sum is σ = 4882984470. Its totient is φ = 549880320.

The previous prime is 1724662679. The next prime is 1724662747. The reversal of 1724662728 is 8272664271.

It is a happy number.

1724662728 is a `hidden beast` number, since 17 + 2 + 4 + 6 + 627 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1180747044 + 543915684 = 34362^2 + 23322^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15448 + ... + 60728.

Almost surely, 2^1724662728 is an apocalyptic number.

1724662728 is a gapful number since it is divisible by the number (18) 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 1724662728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441492235).

1724662728 is an abundant number, since it is smaller than the sum of its proper divisors (3158321742).

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

1724662728 is a wasteful number, since it uses less digits than its factorization.

1724662728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45339 (or 45309 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 1724662728 is about 41529.0588383604. The cubic root of 1724662728 is about 1199.2269854807.

The spelling of 1724662728 in words is "one billion, seven hundred twenty-four million, six hundred sixty-two thousand, seven hundred twenty-eight".