383952928416 has 192 divisors, whose sum is σ = 1096600780800. Its totient is φ = 117181209600.

The previous prime is 383952928399. The next prime is 383952928417. The reversal of 383952928416 is 614829259383.

It is a self number, because there is not a number n which added to its sum of digits gives 383952928416.

It is not an unprimeable number, because it can be changed into a prime (383952928417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46870881 + ... + 46879071.

It is an arithmetic number, because the mean of its divisors is an integer number (5711462400).

Almost surely, 2^383952928416 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 383952928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548300390400).

383952928416 is an abundant number, since it is smaller than the sum of its proper divisors (712647852384).

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

383952928416 is a wasteful number, since it uses less digits than its factorization.

383952928416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083 (or 9075 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 60.

The spelling of 383952928416 in words is "three hundred eighty-three billion, nine hundred fifty-two million, nine hundred twenty-eight thousand, four hundred sixteen".