398608128 has 180 divisors, whose sum is σ = 1216834080. Its totient is φ = 129724416.

The previous prime is 398608117. The next prime is 398608153. The reversal of 398608128 is 821806893.

398608128 is a `hidden beast` number, since 39 + 8 + 608 + 1 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 974388 + ... + 974796.

Almost surely, 2^398608128 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 398608128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608417040).

398608128 is an abundant number, since it is smaller than the sum of its proper divisors (818225952).

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

398608128 is an equidigital number, since it uses as much as digits as its factorization.

398608128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 398608128 is about 19965.1728767872. The cubic root of 398608128 is about 735.9506898281.

The spelling of 398608128 in words is "three hundred ninety-eight million, six hundred eight thousand, one hundred twenty-eight".