532528128 has 352 divisors, whose sum is σ = 1839352320. Its totient is φ = 150405120.

The previous prime is 532528123. The next prime is 532528147. The reversal of 532528128 is 821825235.

532528128 is a `hidden beast` number, since 5 + 3 + 2 + 528 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×532528128² = 567172414222368768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38400) is a multiple of the sum of its prime factors (160).

It is a junction number, because it is equal to n+sod(n) for n = 532528092 and 532528101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532528121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5170125 + ... + 5170227.

Almost surely, 2^532528128 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 532528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919676160).

532528128 is an abundant number, since it is smaller than the sum of its proper divisors (1306824192).

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

532528128 is a wasteful number, since it uses less digits than its factorization.

532528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

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

The square root of 532528128 is about 23076.5709757754. The cubic root of 532528128 is about 810.5519420599.

The spelling of 532528128 in words is "five hundred thirty-two million, five hundred twenty-eight thousand, one hundred twenty-eight".