361329228 has 96 divisors (see below), whose sum is σ = 1033609920. Its totient is φ = 108449280.

The previous prime is 361329193. The next prime is 361329229. The reversal of 361329228 is 822923163.

361329228 is a `hidden beast` number, since 361 + 3 + 292 + 2 + 8 = 666.

361329228 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×361329228² = 261117622014151968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 361329192 and 361329201.

It is not an unprimeable number, because it can be changed into a prime (361329229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54426 + ... + 60702.

It is an arithmetic number, because the mean of its divisors is an integer number (10766770).

Almost surely, 2^361329228 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 361329228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516804960).

361329228 is an abundant number, since it is smaller than the sum of its proper divisors (672280692).

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

361329228 is a wasteful number, since it uses less digits than its factorization.

361329228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6336 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 361329228 is about 19008.6619202931. The cubic root of 361329228 is about 712.2531266594.

The spelling of 361329228 in words is "three hundred sixty-one million, three hundred twenty-nine thousand, two hundred twenty-eight".