82138848 has 48 divisors (see below), whose sum is σ = 235218816. Its totient is φ = 24890240.

The previous prime is 82138831. The next prime is 82138877. The reversal of 82138848 is 84883128.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 37836 + ... + 39947.

It is an arithmetic number, because the mean of its divisors is an integer number (4900392).

Almost surely, 2^82138848 is an apocalyptic number.

82138848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82138848 is an abundant number, since it is smaller than the sum of its proper divisors (153079968).

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

82138848 is a wasteful number, since it uses less digits than its factorization.

82138848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77807 (or 77799 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 82138848 is about 9063.0484937465. The cubic root of 82138848 is about 434.6932227284.

The spelling of 82138848 in words is "eighty-two million, one hundred thirty-eight thousand, eight hundred forty-eight".