395211628 has 48 divisors (see below), whose sum is σ = 852364800. Its totient is φ = 156539520.

The previous prime is 395211617. The next prime is 395211629. The reversal of 395211628 is 826112593.

It is not an unprimeable number, because it can be changed into a prime (395211629) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12753 + ... + 30871.

It is an arithmetic number, because the mean of its divisors is an integer number (17757600).

Almost surely, 2^395211628 is an apocalyptic number.

395211628 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 395211628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426182400).

395211628 is an abundant number, since it is smaller than the sum of its proper divisors (457153172).

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

395211628 is a wasteful number, since it uses less digits than its factorization.

395211628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18190 (or 18188 counting only the distinct ones).

The product of its digits is 25920, while the sum is 37.

The square root of 395211628 is about 19879.9302815679. The cubic root of 395211628 is about 733.8544036784.

It can be divided in two parts, 3952116 and 28, that added together give a square (3952144 = 1988²).

The spelling of 395211628 in words is "three hundred ninety-five million, two hundred eleven thousand, six hundred twenty-eight".