527228352 has 336 divisors, whose sum is σ = 1863912960. Its totient is φ = 144571392.

The previous prime is 527228341. The next prime is 527228353. The reversal of 527228352 is 253822725.

It is a happy number.

527228352 is a `hidden beast` number, since 527 + 2 + 2 + 83 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527228353) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3156973 + ... + 3157139.

It is an arithmetic number, because the mean of its divisors is an integer number (5547360).

Almost surely, 2^527228352 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 527228352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931956480).

527228352 is an abundant number, since it is smaller than the sum of its proper divisors (1336684608).

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

527228352 is a wasteful number, since it uses less digits than its factorization.

527228352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 527228352 is about 22961.4536125220. The cubic root of 527228352 is about 807.8540729181.

The spelling of 527228352 in words is "five hundred twenty-seven million, two hundred twenty-eight thousand, three hundred fifty-two".