986873328 has 240 divisors, whose sum is σ = 3440136960. Its totient is φ = 269571456.

The previous prime is 986873227. The next prime is 986873333. The reversal of 986873328 is 823378689.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 485851 + ... + 487877.

It is an arithmetic number, because the mean of its divisors is an integer number (14333904).

Almost surely, 2^986873328 is an apocalyptic number.

986873328 is a gapful number since it is divisible by the number (98) 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 986873328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720068480).

986873328 is an abundant number, since it is smaller than the sum of its proper divisors (2453263632).

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

986873328 is a wasteful number, since it uses less digits than its factorization.

986873328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2062 counting only the distinct ones).

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

The square root of 986873328 is about 31414.5400730299. The cubic root of 986873328 is about 995.6051563106.

The spelling of 986873328 in words is "nine hundred eighty-six million, eight hundred seventy-three thousand, three hundred twenty-eight".