395428992 has 128 divisors (see below), whose sum is σ = 1209344640. Its totient is φ = 112140288.

The previous prime is 395428987. The next prime is 395429017. The reversal of 395428992 is 299824593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 421548 + ... + 422484.

It is an arithmetic number, because the mean of its divisors is an integer number (9448005).

Almost surely, 2^395428992 is an apocalyptic number.

395428992 is a gapful number since it is divisible by the number (32) 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 395428992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604672320).

395428992 is an abundant number, since it is smaller than the sum of its proper divisors (813915648).

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

395428992 is a wasteful number, since it uses less digits than its factorization.

395428992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1106 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 395428992 is about 19885.3964506620. The cubic root of 395428992 is about 733.9889175122.

The spelling of 395428992 in words is "three hundred ninety-five million, four hundred twenty-eight thousand, nine hundred ninety-two".