389928960 has 144 divisors (see below), whose sum is σ = 1351743120. Its totient is φ = 103956480.

The previous prime is 389928907. The next prime is 389928971. The reversal of 389928960 is 69829983.

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

It is a junction number, because it is equal to n+sod(n) for n = 389928897 and 389928906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90045 + ... + 94275.

It is an arithmetic number, because the mean of its divisors is an integer number (9387105).

Almost surely, 2^389928960 is an apocalyptic number.

389928960 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 389928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675871560).

389928960 is an abundant number, since it is smaller than the sum of its proper divisors (961814160).

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

389928960 is a wasteful number, since it uses less digits than its factorization.

389928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4264 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 389928960 is about 19746.6189511015. The cubic root of 389928960 is about 730.5699933074.

The spelling of 389928960 in words is "three hundred eighty-nine million, nine hundred twenty-eight thousand, nine hundred sixty".