988048000 has 128 divisors (see below), whose sum is σ = 2524438800. Its totient is φ = 384307200.

The previous prime is 988047979. The next prime is 988048063. The reversal of 988048000 is 840889.

It can be written as a sum of positive squares in 8 ways, for example, as 167340096 + 820707904 = 12936^2 + 28648^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 988048000 = 4³ + 996³ = 540³ + 940³.

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, 591166 + ... + 592834.

Almost surely, 2^988048000 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 988048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262219400).

988048000 is an abundant number, since it is smaller than the sum of its proper divisors (1536390800).

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

988048000 is a wasteful number, since it uses less digits than its factorization.

988048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 988048000 is about 31433.2308234454. The cubic root of 988048000 is about 996.0000215050. Note that the first 4 decimals are identical.

Adding to 988048000 its reverse (840889), we get a palindrome (988888889).

The spelling of 988048000 in words is "nine hundred eighty-eight million, forty-eight thousand".