398512128 has 208 divisors, whose sum is σ = 1254992256. Its totient is φ = 110100480.

The previous prime is 398512123. The next prime is 398512129. The reversal of 398512128 is 821215893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398512123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3526600 + ... + 3526712.

Almost surely, 2^398512128 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 398512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627496128).

398512128 is an abundant number, since it is smaller than the sum of its proper divisors (856480128).

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

398512128 is a wasteful number, since it uses less digits than its factorization.

398512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 166 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 398512128 is about 19962.7685454698. The cubic root of 398512128 is about 735.8916034441.

The spelling of 398512128 in words is "three hundred ninety-eight million, five hundred twelve thousand, one hundred twenty-eight".