64528128 has 108 divisors (see below), whose sum is σ = 212682288. Its totient is φ = 18432000.

The previous prime is 64528127. The next prime is 64528147. The reversal of 64528128 is 82182546.

64528128 is a `hidden beast` number, since 6 + 4 + 528 + 128 = 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 = 64528092 and 64528101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64528127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14128 + ... + 18128.

Almost surely, 2^64528128 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 64528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106341144).

64528128 is an abundant number, since it is smaller than the sum of its proper divisors (148154160).

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

64528128 is a wasteful number, since it uses less digits than its factorization.

64528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4030 (or 4013 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 64528128 is about 8032.9401840173. The cubic root of 64528128 is about 401.0972539986.

The spelling of 64528128 in words is "sixty-four million, five hundred twenty-eight thousand, one hundred twenty-eight".