535528224 has 576 divisors, whose sum is σ = 2113413120. Its totient is φ = 124416000.

The previous prime is 535528171. The next prime is 535528241. The reversal of 535528224 is 422825535.

It is a happy number.

535528224 is a `hidden beast` number, since 5 + 3 + 552 + 82 + 24 = 666.

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

Its product of digits (96000) is a multiple of the sum of its prime factors (125).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13061644 + ... + 13061684.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^535528224 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 535528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056706560).

535528224 is an abundant number, since it is smaller than the sum of its proper divisors (1577884896).

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

535528224 is a wasteful number, since it uses less digits than its factorization.

535528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 535528224 is about 23141.4827528402. The cubic root of 535528224 is about 812.0712241471.

It can be divided in two parts, 53552 and 8224, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 535528224 in words is "five hundred thirty-five million, five hundred twenty-eight thousand, two hundred twenty-four".