928389000 has 256 divisors, whose sum is σ = 3612211200. Its totient is φ = 192864000.

The previous prime is 928388939. The next prime is 928389017. The reversal of 928389000 is 983829.

928389000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×928389000² = 1723812270642000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 928389000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228991 + ... + 233009.

It is an arithmetic number, because the mean of its divisors is an integer number (14110200).

Almost surely, 2^928389000 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 928389000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806105600).

928389000 is an abundant number, since it is smaller than the sum of its proper divisors (2683822200).

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

928389000 is a wasteful number, since it uses less digits than its factorization.

928389000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4061 (or 4047 counting only the distinct ones).

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

The square root of 928389000 is about 30469.4765297995. The cubic root of 928389000 is about 975.5360628737.

The spelling of 928389000 in words is "nine hundred twenty-eight million, three hundred eighty-nine thousand".