1823450728 has 64 divisors (see below), whose sum is σ = 3902411520. Its totient is φ = 791347200.

The previous prime is 1823450711. The next prime is 1823450747. The reversal of 1823450728 is 8270543281.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164200 + ... + 174952.

It is an arithmetic number, because the mean of its divisors is an integer number (60975180).

Almost surely, 2^1823450728 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 1823450728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951205760).

1823450728 is an abundant number, since it is smaller than the sum of its proper divisors (2078960792).

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

1823450728 is a wasteful number, since it uses less digits than its factorization.

1823450728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10858 (or 10854 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 1823450728 is about 42701.8820194146. The cubic root of 1823450728 is about 1221.7002916007.

The spelling of 1823450728 in words is "one billion, eight hundred twenty-three million, four hundred fifty thousand, seven hundred twenty-eight".