361528944 has 160 divisors (see below), whose sum is σ = 1121832960. Its totient is φ = 98150400.

The previous prime is 361528943. The next prime is 361528967. The reversal of 361528944 is 449825163.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 361528896 and 361528905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361528943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 635092 + ... + 635660.

It is an arithmetic number, because the mean of its divisors is an integer number (7011456).

Almost surely, 2^361528944 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 361528944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560916480).

361528944 is an abundant number, since it is smaller than the sum of its proper divisors (760304016).

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

361528944 is a wasteful number, since it uses less digits than its factorization.

361528944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 673 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 361528944 is about 19013.9144838721. The cubic root of 361528944 is about 712.3843293912.

The spelling of 361528944 in words is "three hundred sixty-one million, five hundred twenty-eight thousand, nine hundred forty-four".