83488048 has 40 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 35273280.

The previous prime is 83488039. The next prime is 83488049. The reversal of 83488048 is 84088438.

It is a junction number, because it is equal to n+sod(n) for n = 83487995 and 83488013.

It is not an unprimeable number, because it can be changed into a prime (83488049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2703 + ... + 13201.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^83488048 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 83488048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

83488048 is an abundant number, since it is smaller than the sum of its proper divisors (103999952).

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

83488048 is a wasteful number, since it uses less digits than its factorization.

83488048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585 (or 10579 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The square root of 83488048 is about 9137.1794335013. The cubic root of 83488048 is about 437.0603766767.

The spelling of 83488048 in words is "eighty-three million, four hundred eighty-eight thousand, forty-eight".