928201000 has 64 divisors (see below), whose sum is σ = 2176911360. Its totient is φ = 370440000.

The previous prime is 928200983. The next prime is 928201019. The reversal of 928201000 is 102829.

928201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630265 + ... + 631735.

It is an arithmetic number, because the mean of its divisors is an integer number (34014240).

Almost surely, 2^928201000 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 928201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088455680).

928201000 is an abundant number, since it is smaller than the sum of its proper divisors (1248710360).

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

928201000 is a wasteful number, since it uses less digits than its factorization.

928201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 928201000 is about 30466.3913189600. The cubic root of 928201000 is about 975.4702093142.

Adding to 928201000 its reverse (102829), we get a palindrome (928303829).

The spelling of 928201000 in words is "nine hundred twenty-eight million, two hundred one thousand".