361812528 has 320 divisors, whose sum is σ = 1321344000. Its totient is φ = 92067840.

The previous prime is 361812527. The next prime is 361812541. The reversal of 361812528 is 825218163.

It is a happy number.

361812528 is a `hidden beast` number, since 3 + 618 + 12 + 5 + 28 = 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 = 361812492 and 361812501.

It is not an unprimeable number, because it can be changed into a prime (361812523) 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 63 ways as a sum of consecutive naturals, for example, 2428198 + ... + 2428346.

It is an arithmetic number, because the mean of its divisors is an integer number (4129200).

Almost surely, 2^361812528 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 361812528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660672000).

361812528 is an abundant number, since it is smaller than the sum of its proper divisors (959531472).

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

361812528 is a wasteful number, since it uses less digits than its factorization.

361812528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 361812528 is about 19021.3702976415. The cubic root of 361812528 is about 712.5705459235.

The spelling of 361812528 in words is "three hundred sixty-one million, eight hundred twelve thousand, five hundred twenty-eight".