395198328 has 192 divisors, whose sum is σ = 1264032000. Its totient is φ = 102187008.

The previous prime is 395198317. The next prime is 395198339. The reversal of 395198328 is 823891593.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (395198317) and next prime (395198339).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 513528 + ... + 514296.

It is an arithmetic number, because the mean of its divisors is an integer number (6583500).

Almost surely, 2^395198328 is an apocalyptic number.

395198328 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 395198328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632016000).

395198328 is an abundant number, since it is smaller than the sum of its proper divisors (868833672).

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

395198328 is a wasteful number, since it uses less digits than its factorization.

395198328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 823 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 395198328 is about 19879.5957705382. The cubic root of 395198328 is about 733.8461714872.

The spelling of 395198328 in words is "three hundred ninety-five million, one hundred ninety-eight thousand, three hundred twenty-eight".