1728032320 has 224 divisors, whose sum is σ = 5198473728. Its totient is φ = 533102592.

The previous prime is 1728032249. The next prime is 1728032321. The reversal of 1728032320 is 232308271.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1728032321) 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, 874854 + ... + 876826.

It is an arithmetic number, because the mean of its divisors is an integer number (23207472).

Almost surely, 2^1728032320 is an apocalyptic number.

1728032320 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 1728032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599236864).

1728032320 is an abundant number, since it is smaller than the sum of its proper divisors (3470441408).

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

1728032320 is a wasteful number, since it uses less digits than its factorization.

1728032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 1728032320 is about 41569.6081290166. The cubic root of 1728032320 is about 1200.0074814348.

The spelling of 1728032320 in words is "one billion, seven hundred twenty-eight million, thirty-two thousand, three hundred twenty".