1827775456 has 48 divisors (see below), whose sum is σ = 3895081344. Its totient is φ = 839268864.

The previous prime is 1827775447. The next prime is 1827775463. The reversal of 1827775456 is 6545777281.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70801 + ... + 93103.

It is an arithmetic number, because the mean of its divisors is an integer number (81147528).

Almost surely, 2^1827775456 is an apocalyptic number.

1827775456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827775456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947540672).

1827775456 is an abundant number, since it is smaller than the sum of its proper divisors (2067305888).

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

1827775456 is a wasteful number, since it uses less digits than its factorization.

1827775456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22523 (or 22515 counting only the distinct ones).

The product of its digits is 3292800, while the sum is 52.

The square root of 1827775456 is about 42752.4906408972. The cubic root of 1827775456 is about 1222.6653757035.

The spelling of 1827775456 in words is "one billion, eight hundred twenty-seven million, seven hundred seventy-five thousand, four hundred fifty-six".