889528320 has 336 divisors, whose sum is σ = 3271357440. Its totient is φ = 222953472.

The previous prime is 889528313. The next prime is 889528351. The reversal of 889528320 is 23825988.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7004097 + ... + 7004223.

Almost surely, 2^889528320 is an apocalyptic number.

889528320 is a gapful number since it is divisible by the number (80) 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 889528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635678720).

889528320 is an abundant number, since it is smaller than the sum of its proper divisors (2381829120).

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

889528320 is a wasteful number, since it uses less digits than its factorization.

889528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 889528320 is about 29824.9613578962. The cubic root of 889528320 is about 961.7302130877.

The spelling of 889528320 in words is "eight hundred eighty-nine million, five hundred twenty-eight thousand, three hundred twenty".