1728138456 has 128 divisors (see below), whose sum is σ = 5280940800. Its totient is φ = 523591200.

The previous prime is 1728138443. The next prime is 1728138463. The reversal of 1728138456 is 6548318271.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284491 + ... + 290501.

It is an arithmetic number, because the mean of its divisors is an integer number (41257350).

Almost surely, 2^1728138456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728138456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640470400).

1728138456 is an abundant number, since it is smaller than the sum of its proper divisors (3552802344).

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

1728138456 is a wasteful number, since it uses less digits than its factorization.

1728138456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6027 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1728138456 is about 41570.8847151465. The cubic root of 1728138456 is about 1200.0320491440.

The spelling of 1728138456 in words is "one billion, seven hundred twenty-eight million, one hundred thirty-eight thousand, four hundred fifty-six".