988928000 has 96 divisors (see below), whose sum is σ = 2468400480. Its totient is φ = 395468800.

The previous prime is 988927999. The next prime is 988928041. The reversal of 988928000 is 829889.

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 7 ways as a sum of consecutive naturals, for example, 254069 + ... + 257931.

It is an arithmetic number, because the mean of its divisors is an integer number (25712505).

Almost surely, 2^988928000 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 988928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234200240).

988928000 is an abundant number, since it is smaller than the sum of its proper divisors (1479472480).

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

988928000 is an equidigital number, since it uses as much as digits as its factorization.

988928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 44.

The square root of 988928000 is about 31447.2256327963. The cubic root of 988928000 is about 996.2956279050.

The spelling of 988928000 in words is "nine hundred eighty-eight million, nine hundred twenty-eight thousand".