83548128 has 48 divisors (see below), whose sum is σ = 219784320. Its totient is φ = 27789696.

The previous prime is 83548123. The next prime is 83548139. The reversal of 83548128 is 82184538.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83548123) 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, 87751 + ... + 88697.

It is an arithmetic number, because the mean of its divisors is an integer number (4578840).

Almost surely, 2^83548128 is an apocalyptic number.

It is an amenable number.

83548128 is an abundant number, since it is smaller than the sum of its proper divisors (136236192).

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

83548128 is a wasteful number, since it uses less digits than its factorization.

83548128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1871 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 83548128 is about 9140.4665088824. The cubic root of 83548128 is about 437.1651912452.

The spelling of 83548128 in words is "eighty-three million, five hundred forty-eight thousand, one hundred twenty-eight".