384628058800128 has 4320 divisors, whose sum is σ = 1512203320293120. Its totient is φ = 95971914547200.

The previous prime is 384628058800127. The next prime is 384628058800151. The reversal of 384628058800128 is 821008850826483.

384628058800128 is a `hidden beast` number, since 3 + 8 + 4 + 6 + 28 + 0 + 588 + 0 + 0 + 1 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384628058800127) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10395352940526 + ... + 10395352940562.

Almost surely, 2^{384628058800128} is an apocalyptic number.

384628058800128 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 384628058800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756101660146560).

384628058800128 is an abundant number, since it is smaller than the sum of its proper divisors (1127575261492992).

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

384628058800128 is a wasteful number, since it uses less digits than its factorization.

384628058800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 47185920, while the sum is 63.

The spelling of 384628058800128 in words is "three hundred eighty-four trillion, six hundred twenty-eight billion, fifty-eight million, eight hundred thousand, one hundred twenty-eight".