383667920928 has 288 divisors, whose sum is σ = 1140720864192. Its totient is φ = 122234112000.

The previous prime is 383667920869. The next prime is 383667920963. The reversal of 383667920928 is 829029766383.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99626203 + ... + 99630053.

It is an arithmetic number, because the mean of its divisors is an integer number (3960836334).

Almost surely, 2^383667920928 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 383667920928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570360432096).

383667920928 is an abundant number, since it is smaller than the sum of its proper divisors (757052943264).

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

383667920928 is a wasteful number, since it uses less digits than its factorization.

383667920928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 383667920928 in words is "three hundred eighty-three billion, six hundred sixty-seven million, nine hundred twenty thousand, nine hundred twenty-eight".