363038328 has 128 divisors (see below), whose sum is σ = 1044576000. Its totient is φ = 116760960.

The previous prime is 363038323. The next prime is 363038329. The reversal of 363038328 is 823830363.

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 = 363038292 and 363038301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363038321) 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, 777151 + ... + 777617.

It is an arithmetic number, because the mean of its divisors is an integer number (8160750).

Almost surely, 2^363038328 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 363038328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522288000).

363038328 is an abundant number, since it is smaller than the sum of its proper divisors (681537672).

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

363038328 is a wasteful number, since it uses less digits than its factorization.

363038328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 363038328 is about 19053.5647058497. The cubic root of 363038328 is about 713.3743548386.

The spelling of 363038328 in words is "three hundred sixty-three million, thirty-eight thousand, three hundred twenty-eight".