988032000 has 352 divisors, whose sum is σ = 3433457664. Its totient is φ = 251904000.

The previous prime is 988031983. The next prime is 988032011. The reversal of 988032000 is 230889.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11903959 + ... + 11904041.

Almost surely, 2^988032000 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 988032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716728832).

988032000 is an abundant number, since it is smaller than the sum of its proper divisors (2445425664).

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

988032000 is a wasteful number, since it uses less digits than its factorization.

988032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 988032000 is about 31432.9763146922. The cubic root of 988032000 is about 995.9946452189.

Adding to 988032000 its reverse (230889), we get a palindrome (988262889).

The spelling of 988032000 in words is "nine hundred eighty-eight million, thirty-two thousand".