1827363728 has 40 divisors (see below), whose sum is σ = 3754268640. Its totient is φ = 858677760.

The previous prime is 1827363721. The next prime is 1827363743. The reversal of 1827363728 is 8273637281.

1827363728 = 132² + 133² + ... + 1763².

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (1827363721) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 196463 + ... + 205553.

It is an arithmetic number, because the mean of its divisors is an integer number (93856716).

Almost surely, 2^1827363728 is an apocalyptic number.

It is an amenable number.

1827363728 is an abundant number, since it is smaller than the sum of its proper divisors (1926904912).

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

1827363728 is a wasteful number, since it uses less digits than its factorization.

1827363728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9855 (or 9849 counting only the distinct ones).

The product of its digits is 677376, while the sum is 47.

The square root of 1827363728 is about 42747.6751180693. The cubic root of 1827363728 is about 1222.5735622056.

The spelling of 1827363728 in words is "one billion, eight hundred twenty-seven million, three hundred sixty-three thousand, seven hundred twenty-eight".