1826443728 has 200 divisors, whose sum is σ = 5567534280. Its totient is φ = 577290240.

The previous prime is 1826443711. The next prime is 1826443753. The reversal of 1826443728 is 8273446281.

It is a happy number.

1826443728 is a `hidden beast` number, since 18 + 264 + 4 + 372 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419904 + 1826023824 = 648^2 + 42732^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1965568 + ... + 1966496.

Almost surely, 2^1826443728 is an apocalyptic number.

1826443728 is a gapful number since it is divisible by the number (18) 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 1826443728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783767140).

1826443728 is an abundant number, since it is smaller than the sum of its proper divisors (3741090552).

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

1826443728 is a wasteful number, since it uses less digits than its factorization.

1826443728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1012 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1826443728 is about 42736.9129441985. The cubic root of 1826443728 is about 1222.3683564822.

The spelling of 1826443728 in words is "one billion, eight hundred twenty-six million, four hundred forty-three thousand, seven hundred twenty-eight".