536528832 has 112 divisors (see below), whose sum is σ = 1655673600. Its totient is φ = 153275136.

The previous prime is 536528819. The next prime is 536528833. The reversal of 536528832 is 238825635.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536528833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61783 + ... + 69929.

It is an arithmetic number, because the mean of its divisors is an integer number (14782800).

Almost surely, 2^536528832 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 536528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827836800).

536528832 is an abundant number, since it is smaller than the sum of its proper divisors (1119144768).

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

536528832 is an equidigital number, since it uses as much as digits as its factorization.

536528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8159 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 536528832 is about 23163.0920215760. The cubic root of 536528832 is about 812.5766811100.

The spelling of 536528832 in words is "five hundred thirty-six million, five hundred twenty-eight thousand, eight hundred thirty-two".