361228 has 36 divisors (see below), whose sum is σ = 782040. Its totient is φ = 145152.

The previous prime is 361223. The next prime is 361237. The reversal of 361228 is 822163.

361228 = T₅₇ + T₅₈ + ... + T₁₃₂.

It is a junction number, because it is equal to n+sod(n) for n = 361199 and 361208.

It is not an unprimeable number, because it can be changed into a prime (361223) by changing a digit.

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, 3676 + ... + 3772.

2³⁶¹²²⁸ is an apocalyptic number.

361228 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391020).

361228 is an abundant number, since it is smaller than the sum of its proper divisors (420812).

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

361228 is a wasteful number, since it uses less digits than its factorization.

361228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 361228 is about 601.0224621426. The cubic root of 361228 is about 71.2186606814.

The spelling of 361228 in words is "three hundred sixty-one thousand, two hundred twenty-eight".