387128732256 has 144 divisors (see below), whose sum is σ = 1332178402464. Its totient is φ = 104101834752.

The previous prime is 387128732209. The next prime is 387128732257. The reversal of 387128732256 is 652237821783.

387128732256 is a `hidden beast` number, since 3 + 87 + 1 + 287 + 32 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387128732257) 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 23 ways as a sum of consecutive naturals, for example, 5613615 + ... + 5682158.

It is an arithmetic number, because the mean of its divisors is an integer number (9251238906).

Almost surely, 2^387128732256 is an apocalyptic number.

387128732256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

387128732256 is an abundant number, since it is smaller than the sum of its proper divisors (945049670208).

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

387128732256 is a wasteful number, since it uses less digits than its factorization.

387128732256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295813 (or 11295802 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 387128732256 in words is "three hundred eighty-seven billion, one hundred twenty-eight million, seven hundred thirty-two thousand, two hundred fifty-six".