1338182928 has 60 divisors (see below), whose sum is σ = 3836413308. Its totient is φ = 435179520.

The previous prime is 1338182917. The next prime is 1338182971. The reversal of 1338182928 is 8292818331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 791184384 + 546998544 = 28128^2 + 23388^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107425 + ... + 119232.

Almost surely, 2^1338182928 is an apocalyptic number.

1338182928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1338182928 is an abundant number, since it is smaller than the sum of its proper divisors (2498230380).

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

1338182928 is a wasteful number, since it uses less digits than its factorization.

1338182928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226712 (or 226703 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1338182928 is about 36581.1827036798. The cubic root of 1338182928 is about 1101.9752191115.

The spelling of 1338182928 in words is "one billion, three hundred thirty-eight million, one hundred eighty-two thousand, nine hundred twenty-eight".