386628144 has 160 divisors (see below), whose sum is σ = 1221350400. Its totient is φ = 102875136.

The previous prime is 386628139. The next prime is 386628167. The reversal of 386628144 is 441826683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 386628096 and 386628105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 645157 + ... + 645755.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2^386628144 is an apocalyptic number.

386628144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610675200).

386628144 is an abundant number, since it is smaller than the sum of its proper divisors (834722256).

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

386628144 is a wasteful number, since it uses less digits than its factorization.

386628144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 741 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 386628144 is about 19662.8620500679. The cubic root of 386628144 is about 728.5026818420.

The spelling of 386628144 in words is "three hundred eighty-six million, six hundred twenty-eight thousand, one hundred forty-four".