83238688 has 48 divisors (see below), whose sum is σ = 178964856. Its totient is φ = 37877760.

The previous prime is 83238619. The next prime is 83238703. The reversal of 83238688 is 88683238.

It can be written as a sum of positive squares in 4 ways, for example, as 52012944 + 31225744 = 7212^2 + 5588^2 .

It is a super-2 number, since 2×83238688² = 13857358359922688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28998 + ... + 31738.

Almost surely, 2^83238688 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 83238688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89482428).

83238688 is an abundant number, since it is smaller than the sum of its proper divisors (95726168).

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

83238688 is a wasteful number, since it uses less digits than its factorization.

83238688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2829 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 83238688 is about 9123.5238806067. The cubic root of 83238688 is about 436.6248090976.

The spelling of 83238688 in words is "eighty-three million, two hundred thirty-eight thousand, six hundred eighty-eight".