338473728 has 108 divisors (see below), whose sum is σ = 1012233768. Its totient is φ = 112803840.

The previous prime is 338473699. The next prime is 338473753. The reversal of 338473728 is 827374833.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×338473728² = 229128929092435968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59488 + ... + 64928.

Almost surely, 2^338473728 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 338473728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506116884).

338473728 is an abundant number, since it is smaller than the sum of its proper divisors (673760040).

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

338473728 is an frugal number, since it uses more digits than its factorization.

338473728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5446 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 338473728 is about 18397.6555028080. The cubic root of 338473728 is about 696.9072591741.

The spelling of 338473728 in words is "three hundred thirty-eight million, four hundred seventy-three thousand, seven hundred twenty-eight".