986628480 has 128 divisors (see below), whose sum is σ = 3155349600. Its totient is φ = 262225920.

The previous prime is 986628437. The next prime is 986628491. The reversal of 986628480 is 84826689.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×986628480² = 1946871515094220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 746220 + ... + 747540.

Almost surely, 2^986628480 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 986628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577674800).

986628480 is an abundant number, since it is smaller than the sum of its proper divisors (2168721120).

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

986628480 is a wasteful number, since it uses less digits than its factorization.

986628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 986628480 is about 31410.6427823437. The cubic root of 986628480 is about 995.5228113640.

The spelling of 986628480 in words is "nine hundred eighty-six million, six hundred twenty-eight thousand, four hundred eighty".