384128 has 16 divisors (see below), whose sum is σ = 765510. Its totient is φ = 192000.

The previous prime is 384113. The next prime is 384133. The reversal of 384128 is 821483.

It can be written as a sum of positive squares in only one way, i.e., 322624 + 61504 = 568^2 + 248^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 384097 and 384106.

It is an unprimeable number.

384128 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1373 + ... + 1628.

2³⁸⁴¹²⁸ is an apocalyptic number.

It is an amenable number.

384128 is a deficient number, since it is larger than the sum of its proper divisors (381382).

384128 is an equidigital number, since it uses as much as digits as its factorization.

384128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 3003 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 384128 is about 619.7806063439. The cubic root of 384128 is about 72.6928989076.

It can be divided in two parts, 384 and 128, that added together give a 9-th power (512 = 2⁹).

The spelling of 384128 in words is "three hundred eighty-four thousand, one hundred twenty-eight".