986747328 has 336 divisors, whose sum is σ = 3408297984. Its totient is φ = 267079680.

The previous prime is 986747323. The next prime is 986747393. The reversal of 986747328 is 823747689.

986747328 is a `hidden beast` number, since 98 + 67 + 473 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986747323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7769601 + ... + 7769727.

It is an arithmetic number, because the mean of its divisors is an integer number (10143744).

Almost surely, 2^986747328 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 986747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704148992).

986747328 is an abundant number, since it is smaller than the sum of its proper divisors (2421550656).

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

986747328 is a wasteful number, since it uses less digits than its factorization.

986747328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 986747328 is about 31412.5345682261. The cubic root of 986747328 is about 995.5627828923.

The spelling of 986747328 in words is "nine hundred eighty-six million, seven hundred forty-seven thousand, three hundred twenty-eight".