388848 has 20 divisors (see below), whose sum is σ = 1004648. Its totient is φ = 129600.

The previous prime is 388837. The next prime is 388859. The reversal of 388848 is 848883.

388848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (388837) and next prime (388859).

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

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 388848.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4003 + ... + 4098.

2³⁸⁸⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

388848 is an abundant number, since it is smaller than the sum of its proper divisors (615800).

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

388848 is a wasteful number, since it uses less digits than its factorization.

388848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8106 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 388848 is about 623.5767795549. The cubic root of 388848 is about 72.9894273798.

It can be divided in two parts, 3888 and 48, that multiplied together give a square (186624 = 432²).

The spelling of 388848 in words is "three hundred eighty-eight thousand, eight hundred forty-eight".