382728276000 has 1152 divisors, whose sum is σ = 1684522344960. Its totient is φ = 80289792000.

The previous prime is 382728275999. The next prime is 382728276083. The reversal of 382728276000 is 672827283.

382728276000 is a `hidden beast` number, since 38 + 2 + 7 + 2 + 8 + 2 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175642911 + ... + 175645089.

It is an arithmetic number, because the mean of its divisors is an integer number (1462258980).

Almost surely, 2^382728276000 is an apocalyptic number.

382728276000 is a gapful number since it is divisible by the number (30) 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 382728276000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842261172480).

382728276000 is an abundant number, since it is smaller than the sum of its proper divisors (1301794068960).

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

382728276000 is a wasteful number, since it uses less digits than its factorization.

382728276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 382728276000 in words is "three hundred eighty-two billion, seven hundred twenty-eight million, two hundred seventy-six thousand".