377728 has 32 divisors (see below), whose sum is σ = 813960. Its totient is φ = 173568.

The previous prime is 377717. The next prime is 377737. The reversal of 377728 is 827773.

377728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 377693 and 377702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1551 + ... + 1777.

2³⁷⁷⁷²⁸ 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 377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980).

377728 is an abundant number, since it is smaller than the sum of its proper divisors (436232).

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

377728 is a wasteful number, since it uses less digits than its factorization.

377728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 16464, while the sum is 34.

The square root of 377728 is about 614.5958021334. The cubic root of 377728 is about 72.2869209411.

The spelling of 377728 in words is "three hundred seventy-seven thousand, seven hundred twenty-eight".