378768528 has 160 divisors (see below), whose sum is σ = 1128142080. Its totient is φ = 121605120.

The previous prime is 378768527. The next prime is 378768539. The reversal of 378768528 is 825867873.

378768528 is a `hidden beast` number, since 37 + 87 + 6 + 8 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (378768527) 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, 1625500 + ... + 1625732.

It is an arithmetic number, because the mean of its divisors is an integer number (7050888).

Almost surely, 2^378768528 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 378768528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564071040).

378768528 is an abundant number, since it is smaller than the sum of its proper divisors (749373552).

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

378768528 is a wasteful number, since it uses less digits than its factorization.

378768528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 378768528 is about 19461.9764669470. The cubic root of 378768528 is about 723.5323638890.

The spelling of 378768528 in words is "three hundred seventy-eight million, seven hundred sixty-eight thousand, five hundred twenty-eight".