368633628 has 72 divisors (see below), whose sum is σ = 1022950656. Its totient is φ = 111002400.

The previous prime is 368633623. The next prime is 368633641. The reversal of 368633628 is 826336863.

368633628 is a `hidden beast` number, since 3 + 6 + 8 + 633 + 6 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368633621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61693 + ... + 67403.

It is an arithmetic number, because the mean of its divisors is an integer number (14207648).

Almost surely, 2^368633628 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 368633628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511475328).

368633628 is an abundant number, since it is smaller than the sum of its proper divisors (654317028).

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

368633628 is a wasteful number, since it uses less digits than its factorization.

368633628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5890 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 368633628 is about 19199.8340617829. The cubic root of 368633628 is about 717.0206281303.

The spelling of 368633628 in words is "three hundred sixty-eight million, six hundred thirty-three thousand, six hundred twenty-eight".