988333920 has 768 divisors, whose sum is σ = 4354560000. Its totient is φ = 208631808.

The previous prime is 988333903. The next prime is 988333921. The reversal of 988333920 is 29333889.

988333920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988333921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34080466 + ... + 34080494.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2^988333920 is an apocalyptic number.

988333920 is a gapful number since it is divisible by the number (90) 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 988333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177280000).

988333920 is an abundant number, since it is smaller than the sum of its proper divisors (3366226080).

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

988333920 is a wasteful number, since it uses less digits than its factorization.

988333920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 988333920 is about 31437.7785474737. The cubic root of 988333920 is about 996.0960859544.

The spelling of 988333920 in words is "nine hundred eighty-eight million, three hundred thirty-three thousand, nine hundred twenty".