938833920 has 288 divisors, whose sum is σ = 3326974560. Its totient is φ = 244776960.

The previous prime is 938833919. The next prime is 938833927. The reversal of 938833920 is 29338839.

938833920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 (938833927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5621677 + ... + 5621843.

It is an arithmetic number, because the mean of its divisors is an integer number (11551995).

Almost surely, 2^938833920 is an apocalyptic number.

938833920 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 938833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663487280).

938833920 is an abundant number, since it is smaller than the sum of its proper divisors (2388140640).

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

938833920 is a wasteful number, since it uses less digits than its factorization.

938833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

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

The square root of 938833920 is about 30640.3968642705. The cubic root of 938833920 is about 979.1808787757.

The spelling of 938833920 in words is "nine hundred thirty-eight million, eight hundred thirty-three thousand, nine hundred twenty".