386628 has 48 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 112000.

The previous prime is 386621. The next prime is 386629. The reversal of 386628 is 826683.

386628 = T₃₂ + T₃₃ + ... + T₁₃₂.

386628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386621) by changing a digit.

386628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3778 + ... + 3878.

It is an arithmetic number, because the mean of its divisors is an integer number (21420).

2³⁸⁶⁶²⁸ 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 386628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

386628 is an abundant number, since it is smaller than the sum of its proper divisors (641532).

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

386628 is a wasteful number, since it uses less digits than its factorization.

386628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

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

The square root of 386628 is about 621.7941781651. The cubic root of 386628 is about 72.8502591398.

It can be divided in two parts, 38 and 6628, that added together give a palindrome (6666).

The spelling of 386628 in words is "three hundred eighty-six thousand, six hundred twenty-eight".