1827382820 has 24 divisors (see below), whose sum is σ = 3872715000. Its totient is φ = 724246272.

The previous prime is 1827382783. The next prime is 1827382831. The reversal of 1827382820 is 282837281.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 905167396 + 922215424 = 30086^2 + 30368^2 .

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, 416945 + ... + 421304.

It is an arithmetic number, because the mean of its divisors is an integer number (161363125).

Almost surely, 2^1827382820 is an apocalyptic number.

1827382820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1827382820 is an abundant number, since it is smaller than the sum of its proper divisors (2045332180).

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

1827382820 is a wasteful number, since it uses less digits than its factorization.

1827382820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838367 (or 838365 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 41.

The square root of 1827382820 is about 42747.8984278760. The cubic root of 1827382820 is about 1222.5778199409.

The spelling of 1827382820 in words is "one billion, eight hundred twenty-seven million, three hundred eighty-two thousand, eight hundred twenty".