388952448 has 128 divisors (see below), whose sum is σ = 1102187520. Its totient is φ = 121245696.

The previous prime is 388952429. The next prime is 388952467. The reversal of 388952448 is 844259883.

It is an interprime number because it is at equal distance from previous prime (388952429) and next prime (388952467).

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (2211840) is a multiple of the sum of its prime factors (1024).

It is a self number, because there is not a number n which added to its sum of digits gives 388952448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414636 + ... + 415572.

It is an arithmetic number, because the mean of its divisors is an integer number (8610840).

Almost surely, 2^388952448 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 388952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551093760).

388952448 is an abundant number, since it is smaller than the sum of its proper divisors (713235072).

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

388952448 is a wasteful number, since it uses less digits than its factorization.

388952448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1012 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 51.

The square root of 388952448 is about 19721.8773954205. The cubic root of 388952448 is about 729.9596199594.

The spelling of 388952448 in words is "three hundred eighty-eight million, nine hundred fifty-two thousand, four hundred forty-eight".