381632928 has 96 divisors (see below), whose sum is σ = 1050610176. Its totient is φ = 121068288.

The previous prime is 381632893. The next prime is 381632929. The reversal of 381632928 is 829236183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 381632928.

It is not an unprimeable number, because it can be changed into a prime (381632929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677575 + ... + 678137.

It is an arithmetic number, because the mean of its divisors is an integer number (10943856).

Almost surely, 2^381632928 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 381632928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525305088).

381632928 is an abundant number, since it is smaller than the sum of its proper divisors (668977248).

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

381632928 is a wasteful number, since it uses less digits than its factorization.

381632928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 381632928 is about 19535.4275100393. The cubic root of 381632928 is about 725.3516664135.

The spelling of 381632928 in words is "three hundred eighty-one million, six hundred thirty-two thousand, nine hundred twenty-eight".