384303528 has 192 divisors, whose sum is σ = 1274757120. Its totient is φ = 106142400.

The previous prime is 384303511. The next prime is 384303533. The reversal of 384303528 is 825303483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 384303492 and 384303501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421393 + ... + 422303.

It is an arithmetic number, because the mean of its divisors is an integer number (6639360).

Almost surely, 2^384303528 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 384303528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637378560).

384303528 is an abundant number, since it is smaller than the sum of its proper divisors (890453592).

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

384303528 is a wasteful number, since it uses less digits than its factorization.

384303528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 384303528 is about 19603.6610866440. The cubic root of 384303528 is about 727.0396960641.

The spelling of 384303528 in words is "three hundred eighty-four million, three hundred three thousand, five hundred twenty-eight".