361024128 has 224 divisors, whose sum is σ = 1113745140. Its totient is φ = 116453376.

The previous prime is 361024117. The next prime is 361024129. The reversal of 361024128 is 821420163.

361024128 is a `hidden beast` number, since 3 + 610 + 2 + 41 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 353139264 + 7884864 = 18792^2 + 2808^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (361024129) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4945500 + ... + 4945572.

Almost surely, 2^361024128 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 361024128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556872570).

361024128 is an abundant number, since it is smaller than the sum of its proper divisors (752721012).

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

361024128 is an frugal number, since it uses more digits than its factorization.

361024128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 361024128 is about 19000.6349367594. The cubic root of 361024128 is about 712.0525989000.

The spelling of 361024128 in words is "three hundred sixty-one million, twenty-four thousand, one hundred twenty-eight".