395928908928 has 512 divisors, whose sum is σ = 1389743308800. Its totient is φ = 108585308160.

The previous prime is 395928908917. The next prime is 395928909007. The reversal of 395928908928 is 829809829593.

395928908928 is a `hidden beast` number, since 3 + 9 + 592 + 8 + 9 + 0 + 8 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95241826 + ... + 95245982.

It is an arithmetic number, because the mean of its divisors is an integer number (2714342400).

Almost surely, 2^395928908928 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 395928908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694871654400).

395928908928 is an abundant number, since it is smaller than the sum of its proper divisors (993814399872).

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

395928908928 is a wasteful number, since it uses less digits than its factorization.

395928908928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 395928908928 in words is "three hundred ninety-five billion, nine hundred twenty-eight million, nine hundred eight thousand, nine hundred twenty-eight".