395802528 has 96 divisors (see below), whose sum is σ = 1193149440. Its totient is φ = 113621760.

The previous prime is 395802521. The next prime is 395802553. The reversal of 395802528 is 825208593.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×395802528³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 395802528.

It is not an unprimeable number, because it can be changed into a prime (395802521) 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, 10201 + ... + 29927.

It is an arithmetic number, because the mean of its divisors is an integer number (12428640).

Almost surely, 2^395802528 is an apocalyptic number.

395802528 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 395802528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596574720).

395802528 is an abundant number, since it is smaller than the sum of its proper divisors (797346912).

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

395802528 is a wasteful number, since it uses less digits than its factorization.

395802528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19770 (or 19762 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 395802528 is about 19894.7864527368. The cubic root of 395802528 is about 734.2199619428.

The spelling of 395802528 in words is "three hundred ninety-five million, eight hundred two thousand, five hundred twenty-eight".