1728152832 has 144 divisors (see below), whose sum is σ = 5275089792. Its totient is φ = 492011520.

The previous prime is 1728152831. The next prime is 1728152857. The reversal of 1728152832 is 2382518271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1728152831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2800588 + ... + 2801204.

It is an arithmetic number, because the mean of its divisors is an integer number (36632568).

Almost surely, 2^1728152832 is an apocalyptic number.

1728152832 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 1728152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637544896).

1728152832 is an abundant number, since it is smaller than the sum of its proper divisors (3546936960).

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

1728152832 is an equidigital number, since it uses as much as digits as its factorization.

1728152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1150 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 1728152832 is about 41571.0576242655. The cubic root of 1728152832 is about 1200.0353767348.

The spelling of 1728152832 in words is "one billion, seven hundred twenty-eight million, one hundred fifty-two thousand, eight hundred thirty-two".