382728665088 has 1440 divisors, whose sum is σ = 1522350910080. Its totient is φ = 93043261440.

The previous prime is 382728665083. The next prime is 382728665117. The reversal of 382728665088 is 880566827283.

382728665088 is a `hidden beast` number, since 382 + 72 + 8 + 66 + 50 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382728665083) 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 119 ways as a sum of consecutive naturals, for example, 4611188695 + ... + 4611188777.

It is an arithmetic number, because the mean of its divisors is an integer number (1057188132).

Almost surely, 2^382728665088 is an apocalyptic number.

382728665088 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 382728665088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761175455040).

382728665088 is an abundant number, since it is smaller than the sum of its proper divisors (1139622244992).

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

382728665088 is a wasteful number, since it uses less digits than its factorization.

382728665088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 382728665088 in words is "three hundred eighty-two billion, seven hundred twenty-eight million, six hundred sixty-five thousand, eighty-eight".