395017128 has 192 divisors, whose sum is σ = 1244030400. Its totient is φ = 115171200.

The previous prime is 395017079. The next prime is 395017177. The reversal of 395017128 is 821710593.

It is an interprime number because it is at equal distance from previous prime (395017079) and next prime (395017177).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 395017092 and 395017101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2283250 + ... + 2283422.

It is an arithmetic number, because the mean of its divisors is an integer number (6479325).

Almost surely, 2^395017128 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 395017128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622015200).

395017128 is an abundant number, since it is smaller than the sum of its proper divisors (849013272).

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

395017128 is a wasteful number, since it uses less digits than its factorization.

395017128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 395017128 is about 19875.0378112848. The cubic root of 395017128 is about 733.7339972151.

The spelling of 395017128 in words is "three hundred ninety-five million, seventeen thousand, one hundred twenty-eight".