65507328 has 78 divisors (see below), whose sum is σ = 189326774. Its totient is φ = 21823488.

The previous prime is 65507327. The next prime is 65507333. The reversal of 65507328 is 82370556.

It can be written as a sum of positive squares in only one way, i.e., 56070144 + 9437184 = 7488^2 + 3072^2 .

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 = 65507292 and 65507301.

It is not an unprimeable number, because it can be changed into a prime (65507327) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35976 + ... + 37752.

Almost surely, 2^65507328 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 65507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94663387).

65507328 is an abundant number, since it is smaller than the sum of its proper divisors (123819446).

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

65507328 is a wasteful number, since it uses less digits than its factorization.

65507328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 65507328 is about 8093.6597408095. The cubic root of 65507328 is about 403.1159310742.

The spelling of 65507328 in words is "sixty-five million, five hundred seven thousand, three hundred twenty-eight".