338422728 has 128 divisors (see below), whose sum is σ = 1003622400. Its totient is φ = 93090816.

The previous prime is 338422727. The next prime is 338422729. The reversal of 338422728 is 827224833.

It is an interprime number because it is at equal distance from previous prime (338422727) and next prime (338422729).

It is a super-2 number, since 2×338422728² = 229059885653923968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (338422727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570400 + ... + 570992.

It is an arithmetic number, because the mean of its divisors is an integer number (7840800).

Almost surely, 2^338422728 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 338422728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501811200).

338422728 is an abundant number, since it is smaller than the sum of its proper divisors (665199672).

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

338422728 is a wasteful number, since it uses less digits than its factorization.

338422728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 727 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 338422728 is about 18396.2694044200. The cubic root of 338422728 is about 696.8722549256.

The spelling of 338422728 in words is "three hundred thirty-eight million, four hundred twenty-two thousand, seven hundred twenty-eight".