938683872 has 144 divisors (see below), whose sum is σ = 3063426912. Its totient is φ = 267079680.

The previous prime is 938683853. The next prime is 938683877. The reversal of 938683872 is 278386839.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×938683872² = 1762254823105824768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938683877) 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, 565668 + ... + 567324.

It is an arithmetic number, because the mean of its divisors is an integer number (21273798).

Almost surely, 2^938683872 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 938683872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531713456).

938683872 is an abundant number, since it is smaller than the sum of its proper divisors (2124743040).

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

938683872 is a wasteful number, since it uses less digits than its factorization.

938683872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1950 counting only the distinct ones).

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

The square root of 938683872 is about 30637.9482341752. The cubic root of 938683872 is about 979.1287105283.

The spelling of 938683872 in words is "nine hundred thirty-eight million, six hundred eighty-three thousand, eight hundred seventy-two".