363312128 has 44 divisors (see below), whose sum is σ = 730361412. Its totient is φ = 180633600.

The previous prime is 363312127. The next prime is 363312137. The reversal of 363312128 is 821213363.

It can be written as a sum of positive squares in 2 ways, for example, as 222367744 + 140944384 = 14912^2 + 11872^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 363312128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363312121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 200828 + ... + 202628.

It is an arithmetic number, because the mean of its divisors is an integer number (16599123).

Almost surely, 2^363312128 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 363312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365180706).

363312128 is an abundant number, since it is smaller than the sum of its proper divisors (367049284).

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

363312128 is a wasteful number, since it uses less digits than its factorization.

363312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2018 (or 2000 counting only the distinct ones).

The product of its digits is 5184, while the sum is 29.

The square root of 363312128 is about 19060.7483588657. The cubic root of 363312128 is about 713.5536497877.

The spelling of 363312128 in words is "three hundred sixty-three million, three hundred twelve thousand, one hundred twenty-eight".