1728416826 has 64 divisors (see below), whose sum is σ = 4118515200. Its totient is φ = 535362048.

The previous prime is 1728416821. The next prime is 1728416861. The reversal of 1728416826 is 6286148271.

It is not an unprimeable number, because it can be changed into a prime (1728416821) 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, 60606 + ... + 84438.

It is an arithmetic number, because the mean of its divisors is an integer number (64351800).

Almost surely, 2^1728416826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1728416826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059257600).

1728416826 is an abundant number, since it is smaller than the sum of its proper divisors (2390098374).

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

1728416826 is a wasteful number, since it uses less digits than its factorization.

1728416826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23940 (or 23934 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1728416826 is about 41574.2327169125. The cubic root of 1728416826 is about 1200.0964797428.

The spelling of 1728416826 in words is "one billion, seven hundred twenty-eight million, four hundred sixteen thousand, eight hundred twenty-six".