989928576 has 576 divisors, whose sum is σ = 3809332800. Its totient is φ = 243855360.

The previous prime is 989928529. The next prime is 989928619. The reversal of 989928576 is 675829989.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13942621 + ... + 13942691.

It is an arithmetic number, because the mean of its divisors is an integer number (6613425).

Almost surely, 2^989928576 is an apocalyptic number.

989928576 is a gapful number since it is divisible by the number (96) 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 989928576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904666400).

989928576 is an abundant number, since it is smaller than the sum of its proper divisors (2819404224).

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

989928576 is a wasteful number, since it uses less digits than its factorization.

989928576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The square root of 989928576 is about 31463.1304227663. The cubic root of 989928576 is about 996.6315247816.

The spelling of 989928576 in words is "nine hundred eighty-nine million, nine hundred twenty-eight thousand, five hundred seventy-six".