1828363104 has 144 divisors (see below), whose sum is σ = 5626962432. Its totient is φ = 582899328.

The previous prime is 1828363079. The next prime is 1828363133. The reversal of 1828363104 is 4013638281.

1828363104 is a `hidden beast` number, since 18 + 2 + 8 + 3 + 631 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 173737 + ... + 183959.

It is an arithmetic number, because the mean of its divisors is an integer number (39076128).

Almost surely, 2^1828363104 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 1828363104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813481216).

1828363104 is an abundant number, since it is smaller than the sum of its proper divisors (3798599328).

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

1828363104 is a wasteful number, since it uses less digits than its factorization.

1828363104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10271 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1828363104 is about 42759.3627641947. The cubic root of 1828363104 is about 1222.7963946922.

The spelling of 1828363104 in words is "one billion, eight hundred twenty-eight million, three hundred sixty-three thousand, one hundred four".