1823807872 has 128 divisors (see below), whose sum is σ = 4183142400. Its totient is φ = 786309120.

The previous prime is 1823807863. The next prime is 1823807873. The reversal of 1823807872 is 2787083281.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1823807873) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1280953 + ... + 1282375.

It is an arithmetic number, because the mean of its divisors is an integer number (32680800).

Almost surely, 2^1823807872 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 1823807872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091571200).

1823807872 is an abundant number, since it is smaller than the sum of its proper divisors (2359334528).

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

1823807872 is a wasteful number, since it uses less digits than its factorization.

1823807872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The square root of 1823807872 is about 42706.0636444053. The cubic root of 1823807872 is about 1221.7800477903.

The spelling of 1823807872 in words is "one billion, eight hundred twenty-three million, eight hundred seven thousand, eight hundred seventy-two".