65628288 has 96 divisors (see below), whose sum is σ = 206060400. Its totient is φ = 19883520.

The previous prime is 65628287. The next prime is 65628289. The reversal of 65628288 is 88282656.

65628288 is a `hidden beast` number, since 6 + 562 + 8 + 2 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (65628287) and next prime (65628289).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (65628281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10083 + ... + 15261.

Almost surely, 2^65628288 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 65628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103030200).

65628288 is an abundant number, since it is smaller than the sum of its proper divisors (140432112).

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

65628288 is a wasteful number, since it uses less digits than its factorization.

65628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5195 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 65628288 is about 8101.1288102338. The cubic root of 65628288 is about 403.3638978424.

The spelling of 65628288 in words is "sixty-five million, six hundred twenty-eight thousand, two hundred eighty-eight".