388958940288 has 192 divisors, whose sum is σ = 1186011660600. Its totient is φ = 121933430784.

The previous prime is 388958940269. The next prime is 388958940301. The reversal of 388958940288 is 882049859883.

It is a happy number.

388958940288 is a `hidden beast` number, since 38 + 8 + 9 + 589 + 4 + 0 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 373281897024 + 15677043264 = 610968^2 + 125208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28448718 + ... + 28462386.

Almost surely, 2^388958940288 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 388958940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593005830300).

388958940288 is an abundant number, since it is smaller than the sum of its proper divisors (797052720312).

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

388958940288 is a wasteful number, since it uses less digits than its factorization.

388958940288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15159 (or 15144 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 388958940288 in words is "three hundred eighty-eight billion, nine hundred fifty-eight million, nine hundred forty thousand, two hundred eighty-eight".