395380128 has 192 divisors, whose sum is σ = 1237565952. Its totient is φ = 108948480.

The previous prime is 395380109. The next prime is 395380157. The reversal of 395380128 is 821083593.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 1139251 + ... + 1139597.

It is an arithmetic number, because the mean of its divisors is an integer number (6445656).

Almost surely, 2^395380128 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 395380128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618782976).

395380128 is an abundant number, since it is smaller than the sum of its proper divisors (842185824).

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

395380128 is a wasteful number, since it uses less digits than its factorization.

395380128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 395380128 is about 19884.1677723761. The cubic root of 395380128 is about 733.9586827438.

The spelling of 395380128 in words is "three hundred ninety-five million, three hundred eighty thousand, one hundred twenty-eight".