388442688 has 112 divisors (see below), whose sum is σ = 1088867520. Its totient is φ = 121872384.

The previous prime is 388442603. The next prime is 388442689. The reversal of 388442688 is 886244883.

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

It is a self number, because there is not a number n which added to its sum of digits gives 388442688.

It is not an unprimeable number, because it can be changed into a prime (388442689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849756 + ... + 850212.

Almost surely, 2^388442688 is an apocalyptic number.

388442688 is a gapful number since it is divisible by the number (38) 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 388442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544433760).

388442688 is an abundant number, since it is smaller than the sum of its proper divisors (700424832).

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

388442688 is a wasteful number, since it uses less digits than its factorization.

388442688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 714 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 388442688 is about 19708.9494392776. The cubic root of 388442688 is about 729.6405861925.

The spelling of 388442688 in words is "three hundred eighty-eight million, four hundred forty-two thousand, six hundred eighty-eight".