360628224 has 240 divisors, whose sum is σ = 1132427520. Its totient is φ = 100925440.

The previous prime is 360628223. The next prime is 360628231. The reversal of 360628224 is 422826063.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (360628223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12435442 + ... + 12435470.

It is an arithmetic number, because the mean of its divisors is an integer number (4718448).

Almost surely, 2^360628224 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 360628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566213760).

360628224 is an abundant number, since it is smaller than the sum of its proper divisors (771799296).

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

360628224 is a wasteful number, since it uses less digits than its factorization.

360628224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 360628224 is about 18990.2139008490. The cubic root of 360628224 is about 711.7922214905.

The spelling of 360628224 in words is "three hundred sixty million, six hundred twenty-eight thousand, two hundred twenty-four".