338528928 has 96 divisors (see below), whose sum is σ = 965744640. Its totient is φ = 103438080.

The previous prime is 338528899. The next prime is 338528929. The reversal of 338528928 is 829825833.

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

It is a super-2 number, since 2×338528928² = 229203670185658368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (338528929) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53551 + ... + 59537.

It is an arithmetic number, because the mean of its divisors is an integer number (10059840).

Almost surely, 2^338528928 is an apocalyptic number.

338528928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338528928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482872320).

338528928 is an abundant number, since it is smaller than the sum of its proper divisors (627215712).

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

338528928 is a wasteful number, since it uses less digits than its factorization.

338528928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6050 (or 6042 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 338528928 is about 18399.1556328001. The cubic root of 338528928 is about 696.9451421632.

The spelling of 338528928 in words is "three hundred thirty-eight million, five hundred twenty-eight thousand, nine hundred twenty-eight".