363947628 has 96 divisors (see below), whose sum is σ = 993807360. Its totient is φ = 102435840.

The previous prime is 363947587. The next prime is 363947629. The reversal of 363947628 is 826749363.

It is not an unprimeable number, because it can be changed into a prime (363947629) 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, 176250 + ... + 178302.

It is an arithmetic number, because the mean of its divisors is an integer number (10352160).

Almost surely, 2^363947628 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 363947628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496903680).

363947628 is an abundant number, since it is smaller than the sum of its proper divisors (629859732).

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

363947628 is a wasteful number, since it uses less digits than its factorization.

363947628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2165 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 363947628 is about 19077.4114596294. The cubic root of 363947628 is about 713.9694531416.

The spelling of 363947628 in words is "three hundred sixty-three million, nine hundred forty-seven thousand, six hundred twenty-eight".