65152728 has 64 divisors (see below), whose sum is σ = 182736000. Its totient is φ = 21506976.

The previous prime is 65152673. The next prime is 65152733. The reversal of 65152728 is 82725156.

It is a happy number.

65152728 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).

It is a junction number, because it is equal to n+sod(n) for n = 65152692 and 65152701.

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 15 ways as a sum of consecutive naturals, for example, 21703 + ... + 24521.

It is an arithmetic number, because the mean of its divisors is an integer number (2855250).

Almost surely, 2^65152728 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 65152728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91368000).

65152728 is an abundant number, since it is smaller than the sum of its proper divisors (117583272).

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

65152728 is a wasteful number, since it uses less digits than its factorization.

65152728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2931 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 65152728 is about 8071.7239794235. The cubic root of 65152728 is about 402.3872410243.

The spelling of 65152728 in words is "sixty-five million, one hundred fifty-two thousand, seven hundred twenty-eight".