379728 has 50 divisors (see below), whose sum is σ = 1102794. Its totient is φ = 126144.

The previous prime is 379727. The next prime is 379751. The reversal of 379728 is 827973.

It can be written as a sum of positive squares in only one way, i.e., 374544 + 5184 = 612^2 + 72^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 379692 and 379701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379721) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1150 + ... + 1442.

2³⁷⁹⁷²⁸ 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 379728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551397).

379728 is an abundant number, since it is smaller than the sum of its proper divisors (723066).

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

379728 is a wasteful number, since it uses less digits than its factorization.

379728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 379728 is about 616.2207396705. The cubic root of 379728 is about 72.4142783922.

The spelling of 379728 in words is "three hundred seventy-nine thousand, seven hundred twenty-eight".