389928000 has 448 divisors, whose sum is σ = 1612855296. Its totient is φ = 80640000.

The previous prime is 389927983. The next prime is 389928001. The reversal of 389928000 is 829983.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 389928000.

It is not an unprimeable number, because it can be changed into a prime (389928001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1847895 + ... + 1848105.

Almost surely, 2^389928000 is an apocalyptic number.

389928000 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 389928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806427648).

389928000 is an abundant number, since it is smaller than the sum of its proper divisors (1222927296).

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

389928000 is a wasteful number, since it uses less digits than its factorization.

389928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 389928000 is about 19746.5946431277. The cubic root of 389928000 is about 730.5693937556.

The spelling of 389928000 in words is "three hundred eighty-nine million, nine hundred twenty-eight thousand".