1827138976 has 48 divisors (see below), whose sum is σ = 3881946600. Its totient is φ = 841540608.

The previous prime is 1827138953. The next prime is 1827138979. The reversal of 1827138976 is 6798317281.

It can be written as a sum of positive squares in 4 ways, for example, as 1691183376 + 135955600 = 41124^2 + 11660^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1827138979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207430 + ... + 216058.

Almost surely, 2^1827138976 is an apocalyptic number.

1827138976 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 1827138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940973300).

1827138976 is an abundant number, since it is smaller than the sum of its proper divisors (2054807624).

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

1827138976 is a wasteful number, since it uses less digits than its factorization.

1827138976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9161 (or 9153 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 52.

The square root of 1827138976 is about 42745.0462159067. The cubic root of 1827138976 is about 1222.5234376984.

The spelling of 1827138976 in words is "one billion, eight hundred twenty-seven million, one hundred thirty-eight thousand, nine hundred seventy-six".