377928 has 48 divisors (see below), whose sum is σ = 1064700. Its totient is φ = 120960.

The previous prime is 377911. The next prime is 377963. The reversal of 377928 is 829773.

It can be written as a sum of positive squares in 2 ways, for example, as 338724 + 39204 = 582^2 + 198^2 .

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 = 377892 and 377901.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 377928.

It is an unprimeable number.

377928 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1998 + ... + 2178.

2³⁷⁷⁹²⁸ 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 377928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532350).

377928 is an abundant number, since it is smaller than the sum of its proper divisors (686772).

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

377928 is a wasteful number, since it uses less digits than its factorization.

377928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

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

The square root of 377928 is about 614.7584891646. The cubic root of 377928 is about 72.2996768866.

The spelling of 377928 in words is "three hundred seventy-seven thousand, nine hundred twenty-eight".