360128844 has 72 divisors (see below), whose sum is σ = 967271760. Its totient is φ = 112758912.

The previous prime is 360128843. The next prime is 360128849. The reversal of 360128844 is 448821063.

360128844 is a `hidden beast` number, since 3 + 601 + 2 + 8 + 8 + 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 = 360128799 and 360128808.

It is not an unprimeable number, because it can be changed into a prime (360128843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33967 + ... + 43289.

It is an arithmetic number, because the mean of its divisors is an integer number (13434330).

Almost surely, 2^360128844 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 360128844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483635880).

360128844 is an abundant number, since it is smaller than the sum of its proper divisors (607142916).

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

360128844 is a wasteful number, since it uses less digits than its factorization.

360128844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9399 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 360128844 is about 18977.0609947905. The cubic root of 360128844 is about 711.4635182496.

The spelling of 360128844 in words is "three hundred sixty million, one hundred twenty-eight thousand, eight hundred forty-four".