528226272 has 180 divisors, whose sum is σ = 1807565760. Its totient is φ = 150885504.

The previous prime is 528226253. The next prime is 528226289. The reversal of 528226272 is 272622825.

528226272 is a `hidden beast` number, since 5 + 2 + 8 + 22 + 627 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 124929 + ... + 129087.

It is an arithmetic number, because the mean of its divisors is an integer number (10042032).

Almost surely, 2^528226272 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 528226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903782880).

528226272 is an abundant number, since it is smaller than the sum of its proper divisors (1279339488).

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

528226272 is a wasteful number, since it uses less digits than its factorization.

528226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4171 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 528226272 is about 22983.1736711882. The cubic root of 528226272 is about 808.3634446383.

The spelling of 528226272 in words is "five hundred twenty-eight million, two hundred twenty-six thousand, two hundred seventy-two".