378205728 has 48 divisors (see below), whose sum is σ = 996369696. Its totient is φ = 125614080.

The previous prime is 378205727. The next prime is 378205739. The reversal of 378205728 is 827502873.

It is a tau number, because it is divible by the number of its divisors (48).

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 378205728.

It is not an unprimeable number, because it can be changed into a prime (378205727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20208 + ... + 34128.

It is an arithmetic number, because the mean of its divisors is an integer number (20757702).

Almost surely, 2^378205728 is an apocalyptic number.

It is an amenable number.

378205728 is an abundant number, since it is smaller than the sum of its proper divisors (618163968).

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

378205728 is a wasteful number, since it uses less digits than its factorization.

378205728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 378205728 is about 19447.5121288045. The cubic root of 378205728 is about 723.1738284118.

The spelling of 378205728 in words is "three hundred seventy-eight million, two hundred five thousand, seven hundred twenty-eight".