1871338728 has 256 divisors, whose sum is σ = 5870592000. Its totient is φ = 485222400.

The previous prime is 1871338669. The next prime is 1871338753. The reversal of 1871338728 is 8278331781.

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

Its product of digits (451584) is a multiple of the sum of its prime factors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10338798 + ... + 10338978.

It is an arithmetic number, because the mean of its divisors is an integer number (22932000).

Almost surely, 2^1871338728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1871338728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296000).

1871338728 is an abundant number, since it is smaller than the sum of its proper divisors (3999253272).

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

1871338728 is a wasteful number, since it uses less digits than its factorization.

1871338728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 1871338728 is about 43258.9728033387. The cubic root of 1871338728 is about 1232.3028943371.

The spelling of 1871338728 in words is "one billion, eight hundred seventy-one million, three hundred thirty-eight thousand, seven hundred twenty-eight".