378656928 has 144 divisors (see below), whose sum is σ = 1220899680. Its totient is φ = 110356992.

The previous prime is 378656923. The next prime is 378656933. The reversal of 378656928 is 829656873.

It is a happy number.

378656928 is a `hidden beast` number, since 3 + 78 + 6 + 569 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (378656923) and next prime (378656933).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (378656923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68475 + ... + 73797.

It is an arithmetic number, because the mean of its divisors is an integer number (8478470).

Almost surely, 2^378656928 is an apocalyptic number.

378656928 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378656928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610449840).

378656928 is an abundant number, since it is smaller than the sum of its proper divisors (842242752).

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

378656928 is a wasteful number, since it uses less digits than its factorization.

378656928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5371 (or 5360 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 378656928 is about 19459.1091265762. The cubic root of 378656928 is about 723.4612966122.

The spelling of 378656928 in words is "three hundred seventy-eight million, six hundred fifty-six thousand, nine hundred twenty-eight".