378577728 has 84 divisors (see below), whose sum is σ = 1105687908. Its totient is φ = 123801600.

The previous prime is 378577721. The next prime is 378577733. The reversal of 378577728 is 827775873.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 208744704 + 169833024 = 14448^2 + 13032^2 .

It is a super-2 number, since 2×378577728² = 286642192275283968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378577721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24328 + ... + 36728.

Almost surely, 2^378577728 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 378577728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552843954).

378577728 is an abundant number, since it is smaller than the sum of its proper divisors (727110180).

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

378577728 is a wasteful number, since it uses less digits than its factorization.

378577728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472 (or 12459 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 54.

The square root of 378577728 is about 19457.0739835156. The cubic root of 378577728 is about 723.4108532991.

The spelling of 378577728 in words is "three hundred seventy-eight million, five hundred seventy-seven thousand, seven hundred twenty-eight".