83028148 has 54 divisors (see below), whose sum is σ = 175227234. Its totient is φ = 34298208.

The previous prime is 83028133. The next prime is 83028151. The reversal of 83028148 is 84182038.

It can be written as a sum of positive squares in only one way, i.e., 80784144 + 2244004 = 8988^2 + 1498^2 .

It is a super-3 number, since 3×83028148³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 775911 + ... + 776017.

Almost surely, 2^83028148 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 83028148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87613617).

83028148 is an abundant number, since it is smaller than the sum of its proper divisors (92199086).

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

83028148 is a wasteful number, since it uses less digits than its factorization.

83028148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 83028148 is about 9111.9782703867. The cubic root of 83028148 is about 436.2563722410.

The spelling of 83028148 in words is "eighty-three million, twenty-eight thousand, one hundred forty-eight".