1827882864 has 120 divisors (see below), whose sum is σ = 5357862432. Its totient is φ = 580631040.

The previous prime is 1827882839. The next prime is 1827882871. The reversal of 1827882864 is 4682887281.

It is a self number, because there is not a number n which added to its sum of digits gives 1827882864.

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, 1049034 + ... + 1050774.

Almost surely, 2^1827882864 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 1827882864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678931216).

1827882864 is an abundant number, since it is smaller than the sum of its proper divisors (3529979568).

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

1827882864 is a wasteful number, since it uses less digits than its factorization.

1827882864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2086 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 54.

The square root of 1827882864 is about 42753.7467831768. The cubic root of 1827882864 is about 1222.6893249383.

The spelling of 1827882864 in words is "one billion, eight hundred twenty-seven million, eight hundred eighty-two thousand, eight hundred sixty-four".