378128 has 10 divisors (see below), whose sum is σ = 732654. Its totient is φ = 189056.

The previous prime is 378127. The next prime is 378137. The reversal of 378128 is 821873.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 8464 = 608^2 + 92^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 378128.

It is not an unprimeable number, because it can be changed into a prime (378127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11801 + ... + 11832.

2³⁷⁸¹²⁸ is an apocalyptic number.

It is an amenable number.

378128 is a deficient number, since it is larger than the sum of its proper divisors (354526).

378128 is a wasteful number, since it uses less digits than its factorization.

378128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23641 (or 23635 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 378128 is about 614.9211331545. The cubic root of 378128 is about 72.3124283325.

It can be divided in two parts, 378 and 128, that multiplied together give a palindrome (48384).

The spelling of 378128 in words is "three hundred seventy-eight thousand, one hundred twenty-eight".