65032128 has 126 divisors (see below), whose sum is σ = 214722456. Its totient is φ = 18434304.

The previous prime is 65032127. The next prime is 65032129. The reversal of 65032128 is 82123056.

65032128 is a `hidden beast` number, since 650 + 3 + 2 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (65032127) and next prime (65032129).

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65032127) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 512001 + ... + 512127.

Almost surely, 2^65032128 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 65032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107361228).

65032128 is an abundant number, since it is smaller than the sum of its proper divisors (149690328).

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

65032128 is a wasteful number, since it uses less digits than its factorization.

65032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 65032128 is about 8064.2499961249. The cubic root of 65032128 is about 402.1388100126.

The spelling of 65032128 in words is "sixty-five million, thirty-two thousand, one hundred twenty-eight".