928489161600 has 3456 divisors, whose sum is σ = 4676336945280. Its totient is φ = 172324454400.

The previous prime is 928489161577. The next prime is 928489161641. The reversal of 928489161600 is 6161984829.

928489161600 is a `hidden beast` number, since 9 + 28 + 4 + 8 + 9 + 1 + 6 + 1 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 8677468747 + ... + 8677468853.

It is an arithmetic number, because the mean of its divisors is an integer number (1353106755).

Almost surely, 2^928489161600 is an apocalyptic number.

928489161600 is a gapful number since it is divisible by the number (90) 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 928489161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338168472640).

928489161600 is an abundant number, since it is smaller than the sum of its proper divisors (3747847783680).

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

928489161600 is a wasteful number, since it uses less digits than its factorization.

928489161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 928489161600 in words is "nine hundred twenty-eight billion, four hundred eighty-nine million, one hundred sixty-one thousand, six hundred".