938497248 has 288 divisors, whose sum is σ = 3082060800. Its totient is φ = 268489728.

The previous prime is 938497187. The next prime is 938497253. The reversal of 938497248 is 842794839.

938497248 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 junction number, because it is equal to n+sod(n) for n = 938497194 and 938497203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5619661 + ... + 5619827.

It is an arithmetic number, because the mean of its divisors is an integer number (10701600).

Almost surely, 2^938497248 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 938497248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541030400).

938497248 is an abundant number, since it is smaller than the sum of its proper divisors (2143563552).

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

938497248 is a wasteful number, since it uses less digits than its factorization.

938497248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 283 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 938497248 is about 30634.9024480249. The cubic root of 938497248 is about 979.0638178869.

The spelling of 938497248 in words is "nine hundred thirty-eight million, four hundred ninety-seven thousand, two hundred forty-eight".