1728496896 has 144 divisors (see below), whose sum is σ = 5567071104. Its totient is φ = 464781312.

The previous prime is 1728496871. The next prime is 1728496907. The reversal of 1728496896 is 6986948271.

1728496896 = T₃₉₃ + T₃₉₄ + ... + T₂₁₈₄.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81936 + ... + 100848.

It is an arithmetic number, because the mean of its divisors is an integer number (38660216).

Almost surely, 2^1728496896 is an apocalyptic number.

1728496896 is a gapful number since it is divisible by the number (16) 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 1728496896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783535552).

1728496896 is an abundant number, since it is smaller than the sum of its proper divisors (3838574208).

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

1728496896 is a wasteful number, since it uses less digits than its factorization.

1728496896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18956 (or 18942 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 60.

The square root of 1728496896 is about 41575.1956820410. The cubic root of 1728496896 is about 1200.1150111989.

The spelling of 1728496896 in words is "one billion, seven hundred twenty-eight million, four hundred ninety-six thousand, eight hundred ninety-six".