989052768 has 288 divisors, whose sum is σ = 3293402112. Its totient is φ = 289267200.

The previous prime is 989052767. The next prime is 989052773. The reversal of 989052768 is 867250989.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989052767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2651430 + ... + 2651802.

It is an arithmetic number, because the mean of its divisors is an integer number (11435424).

Almost surely, 2^989052768 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 989052768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646701056).

989052768 is an abundant number, since it is smaller than the sum of its proper divisors (2304349344).

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

989052768 is a wasteful number, since it uses less digits than its factorization.

989052768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 989052768 is about 31449.2093382330. The cubic root of 989052768 is about 996.3375253217.

The spelling of 989052768 in words is "nine hundred eighty-nine million, fifty-two thousand, seven hundred sixty-eight".