986387328 has 256 divisors, whose sum is σ = 3131481600. Its totient is φ = 304570368.

The previous prime is 986387327. The next prime is 986387359. The reversal of 986387328 is 823783689.

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

Its product of digits (3483648) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986387321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6051375 + ... + 6051537.

It is an arithmetic number, because the mean of its divisors is an integer number (12232350).

Almost surely, 2^986387328 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 986387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565740800).

986387328 is an abundant number, since it is smaller than the sum of its proper divisors (2145094272).

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

986387328 is a wasteful number, since it uses less digits than its factorization.

986387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 986387328 is about 31406.8038488478. The cubic root of 986387328 is about 995.4416961033.

The spelling of 986387328 in words is "nine hundred eighty-six million, three hundred eighty-seven thousand, three hundred twenty-eight".