1828641888 has 72 divisors (see below), whose sum is σ = 5367974976. Its totient is φ = 589881600.

The previous prime is 1828641853. The next prime is 1828641917. The reversal of 1828641888 is 8881468281.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93483 + ... + 111338.

It is an arithmetic number, because the mean of its divisors is an integer number (74555208).

Almost surely, 2^1828641888 is an apocalyptic number.

1828641888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1828641888 is an abundant number, since it is smaller than the sum of its proper divisors (3539333088).

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

1828641888 is a wasteful number, since it uses less digits than its factorization.

1828641888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204868 (or 204857 counting only the distinct ones).

The product of its digits is 1572864, while the sum is 54.

The square root of 1828641888 is about 42762.6225575560. The cubic root of 1828641888 is about 1222.8585411270.

The spelling of 1828641888 in words is "one billion, eight hundred twenty-eight million, six hundred forty-one thousand, eight hundred eighty-eight".