338928768 has 96 divisors (see below), whose sum is σ = 980179200. Its totient is φ = 112412160.

The previous prime is 338928763. The next prime is 338928781. The reversal of 338928768 is 867829833.

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

It is a super-2 number, since 2×338928768² = 229745419555995648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338928761) 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, 274713 + ... + 275943.

It is an arithmetic number, because the mean of its divisors is an integer number (10210200).

Almost surely, 2^338928768 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 338928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490089600).

338928768 is an abundant number, since it is smaller than the sum of its proper divisors (641250432).

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

338928768 is a wasteful number, since it uses less digits than its factorization.

338928768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1475 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 338928768 is about 18410.0181423050. The cubic root of 338928768 is about 697.2194238987.

The spelling of 338928768 in words is "three hundred thirty-eight million, nine hundred twenty-eight thousand, seven hundred sixty-eight".