360428544 has 264 divisors, whose sum is σ = 1229641088. Its totient is φ = 99532800.

The previous prime is 360428539. The next prime is 360428569. The reversal of 360428544 is 445824063.

360428544 is a `hidden beast` number, since 3 + 604 + 2 + 8 + 5 + 44 = 666.

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 = 360428499 and 360428508.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2386869 + ... + 2387019.

Almost surely, 2^360428544 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 360428544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614820544).

360428544 is an abundant number, since it is smaller than the sum of its proper divisors (869212544).

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

360428544 is a wasteful number, since it uses less digits than its factorization.

360428544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 360428544 is about 18984.9557281549. The cubic root of 360428544 is about 711.6608240179.

The spelling of 360428544 in words is "three hundred sixty million, four hundred twenty-eight thousand, five hundred forty-four".