1728417432 has 128 divisors (see below), whose sum is σ = 5238236160. Its totient is φ = 464555520.

The previous prime is 1728417413. The next prime is 1728417437. The reversal of 1728417432 is 2347148271.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728417437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232038 + ... + 239370.

It is an arithmetic number, because the mean of its divisors is an integer number (40923720).

Almost surely, 2^1728417432 is an apocalyptic number.

1728417432 is a gapful number since it is divisible by the number (12) 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 1728417432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619118080).

1728417432 is an abundant number, since it is smaller than the sum of its proper divisors (3509818728).

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

1728417432 is a wasteful number, since it uses less digits than its factorization.

1728417432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433 (or 7429 counting only the distinct ones).

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

The square root of 1728417432 is about 41574.2400050801. The cubic root of 1728417432 is about 1200.0966199980.

It can be divided in two parts, 17284 and 17432, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 1728417432 in words is "one billion, seven hundred twenty-eight million, four hundred seventeen thousand, four hundred thirty-two".