368628 has 48 divisors (see below), whose sum is σ = 987840. Its totient is φ = 105984.

The previous prime is 368609. The next prime is 368633. The reversal of 368628 is 826863.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368628.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2583 + ... + 2721.

It is an arithmetic number, because the mean of its divisors is an integer number (20580).

2³⁶⁸⁶²⁸ 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 368628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493920).

368628 is an abundant number, since it is smaller than the sum of its proper divisors (619212).

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

368628 is a wasteful number, since it uses less digits than its factorization.

368628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 174 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 368628 is about 607.1474285542. The cubic root of 368628 is about 71.7016979148.

The spelling of 368628 in words is "three hundred sixty-eight thousand, six hundred twenty-eight".