1882816128 has 96 divisors (see below), whose sum is σ = 5429492640. Its totient is φ = 626274816.

The previous prime is 1882816123. The next prime is 1882816129. The reversal of 1882816128 is 8216182881.

1882816128 is a `hidden beast` number, since 1 + 8 + 8 + 28 + 1 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882816123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 647125 + ... + 650027.

It is an arithmetic number, because the mean of its divisors is an integer number (56557215).

Almost surely, 2^1882816128 is an apocalyptic number.

1882816128 is a gapful number since it is divisible by the number (18) 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 1882816128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714746320).

1882816128 is an abundant number, since it is smaller than the sum of its proper divisors (3546676512).

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

1882816128 is a wasteful number, since it uses less digits than its factorization.

1882816128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3471 counting only the distinct ones).

The product of its digits is 98304, while the sum is 45.

The square root of 1882816128 is about 43391.4291997855. The cubic root of 1882816128 is about 1234.8171043771.

The spelling of 1882816128 in words is "one billion, eight hundred eighty-two million, eight hundred sixteen thousand, one hundred twenty-eight".