388289728512 has 260 divisors, whose sum is σ = 1325646642496. Its totient is φ = 110939258880.

The previous prime is 388289728511. The next prime is 388289728513. The reversal of 388289728512 is 215827982883.

388289728512 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 8 + 97 + 28 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (388289728511) and next prime (388289728513).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 388289728512.

It is not an unprimeable number, because it can be changed into a prime (388289728511) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2238837 + ... + 2406027.

Almost surely, 2^388289728512 is an apocalyptic number.

388289728512 is a gapful number since it is divisible by the number (32) 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 388289728512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662823321248).

388289728512 is an abundant number, since it is smaller than the sum of its proper divisors (937356913984).

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

388289728512 is an equidigital number, since it uses as much as digits as its factorization.

388289728512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167234 (or 167203 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 63.

The spelling of 388289728512 in words is "three hundred eighty-eight billion, two hundred eighty-nine million, seven hundred twenty-eight thousand, five hundred twelve".