938408328 has 480 divisors, whose sum is σ = 3348021600. Its totient is φ = 242611200.

The previous prime is 938408327. The next prime is 938408351. The reversal of 938408328 is 823804839.

It is a super-2 number, since 2×938408328² = 1761220380119511168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (938408327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22887988 + ... + 22888028.

It is an arithmetic number, because the mean of its divisors is an integer number (6975045).

Almost surely, 2^938408328 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 938408328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674010800).

938408328 is an abundant number, since it is smaller than the sum of its proper divisors (2409613272).

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

938408328 is a wasteful number, since it uses less digits than its factorization.

938408328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 938408328 is about 30633.4511278112. The cubic root of 938408328 is about 979.0328957205.

The spelling of 938408328 in words is "nine hundred thirty-eight million, four hundred eight thousand, three hundred twenty-eight".