65728845 has 72 divisors (see below), whose sum is σ = 142787736. Its totient is φ = 27724032.

The previous prime is 65728841. The next prime is 65728907. The reversal of 65728845 is 54882756.

65728845 is a nontrivial binomial coefficient, being equal to C(11466, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 21609 + 65707236 = 147^2 + 8106^2 .

It is not a de Polignac number, because 65728845 - 2² = 65728841 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 65728845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65728841) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27519 + ... + 29811.

It is an arithmetic number, because the mean of its divisors is an integer number (1983163).

Almost surely, 2^65728845 is an apocalyptic number.

65728845 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

65728845 is the 11465-th triangular number and also the 5733-rd hexagonal number.

It is an amenable number.

65728845 is an abundant number, since it is smaller than the sum of its proper divisors (77058891).

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

65728845 is a wasteful number, since it uses less digits than its factorization.

65728845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2321 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 65728845 is about 8107.3327919853. The cubic root of 65728845 is about 403.5698068397.

65728845 divided by its sum of digits (45) gives a palindrome (1460641).

The spelling of 65728845 in words is "sixty-five million, seven hundred twenty-eight thousand, eight hundred forty-five".