2838371328 has 352 divisors, whose sum is σ = 9285192000. Its totient is φ = 851116032.

The previous prime is 2838371303. The next prime is 2838371339. The reversal of 2838371328 is 8231738382.

It is a super-2 number, since 2×2838371328² = 16112703591224967168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19049398 + ... + 19049546.

Almost surely, 2^2838371328 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 2838371328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642596000).

2838371328 is an abundant number, since it is smaller than the sum of its proper divisors (6446820672).

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

2838371328 is a wasteful number, since it uses less digits than its factorization.

2838371328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 2838371328 is about 53276.3674437363. The cubic root of 2838371328 is about 1415.8689910394.

Adding to 2838371328 its product of digits (387072), we get a square (2838758400 = 53280²).

The spelling of 2838371328 in words is "two billion, eight hundred thirty-eight million, three hundred seventy-one thousand, three hundred twenty-eight".