388648 has 32 divisors (see below), whose sum is σ = 813960. Its totient is φ = 172800.

The previous prime is 388621. The next prime is 388651. The reversal of 388648 is 846883.

It can be written as a sum of positive squares in 4 ways, for example, as 386884 + 1764 = 622^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a nialpdrome in base 9.

It is an unprimeable number.

388648 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 7 ways as a sum of consecutive naturals, for example, 3798 + ... + 3898.

2³⁸⁸⁶⁴⁸ 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 388648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406980).

388648 is an abundant number, since it is smaller than the sum of its proper divisors (425312).

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

388648 is a wasteful number, since it uses less digits than its factorization.

388648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 388648 is about 623.4163937530. The cubic root of 388648 is about 72.9769114448.

The spelling of 388648 in words is "three hundred eighty-eight thousand, six hundred forty-eight".