398135280928 has 384 divisors, whose sum is σ = 1037653327872. Its totient is φ = 145904640000.

The previous prime is 398135280923. The next prime is 398135280929. The reversal of 398135280928 is 829082531893.

It is not an unprimeable number, because it can be changed into a prime (398135280923) 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 63 ways as a sum of consecutive naturals, for example, 337116498 + ... + 337117678.

It is an arithmetic number, because the mean of its divisors is an integer number (2702222208).

Almost surely, 2^398135280928 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 398135280928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518826663936).

398135280928 is an abundant number, since it is smaller than the sum of its proper divisors (639518046944).

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

398135280928 is a wasteful number, since it uses less digits than its factorization.

398135280928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 58.

The spelling of 398135280928 in words is "three hundred ninety-eight billion, one hundred thirty-five million, two hundred eighty thousand, nine hundred twenty-eight".