361928 has 32 divisors (see below), whose sum is σ = 812160. Its totient is φ = 147840.

The previous prime is 361927. The next prime is 361943. The reversal of 361928 is 829163.

It is a Smith number, since the sum of its digits (29) 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 361928.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 361928.

It is not an unprimeable number, because it can be changed into a prime (361927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1148 + ... + 1428.

It is an arithmetic number, because the mean of its divisors is an integer number (25380).

2³⁶¹⁹²⁸ 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 361928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406080).

361928 is an abundant number, since it is smaller than the sum of its proper divisors (450232).

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

361928 is a wasteful number, since it uses less digits than its factorization.

361928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 361928 is about 601.6045212596. The cubic root of 361928 is about 71.2646343183.

The spelling of 361928 in words is "three hundred sixty-one thousand, nine hundred twenty-eight".