65082528 has 240 divisors, whose sum is σ = 232714944. Its totient is φ = 17418240.

The previous prime is 65082499. The next prime is 65082533. The reversal of 65082528 is 82528056.

65082528 is a `hidden beast` number, since 6 + 50 + 82 + 528 = 666.

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 = 65082492 and 65082501.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308343 + ... + 308553.

Almost surely, 2^65082528 is an apocalyptic number.

65082528 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65082528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116357472).

65082528 is an abundant number, since it is smaller than the sum of its proper divisors (167632416).

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

65082528 is a wasteful number, since it uses less digits than its factorization.

65082528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 65082528 is about 8067.3742940315. The cubic root of 65082528 is about 402.2426692539.

The spelling of 65082528 in words is "sixty-five million, eighty-two thousand, five hundred twenty-eight".