65183328 has 216 divisors, whose sum is σ = 224078400. Its totient is φ = 17902080.

The previous prime is 65183299. The next prime is 65183347. The reversal of 65183328 is 82338156.

65183328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 65183292 and 65183301.

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 35 ways as a sum of consecutive naturals, for example, 437398 + ... + 437546.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^65183328 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 65183328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112039200).

65183328 is an abundant number, since it is smaller than the sum of its proper divisors (158895072).

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

65183328 is a wasteful number, since it uses less digits than its factorization.

65183328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 65183328 is about 8073.6192627594. The cubic root of 65183328 is about 402.4502269896.

The spelling of 65183328 in words is "sixty-five million, one hundred eighty-three thousand, three hundred twenty-eight".