528262272 has 96 divisors (see below), whose sum is σ = 1531530000. Its totient is φ = 174767616.

The previous prime is 528262253. The next prime is 528262277. The reversal of 528262272 is 272262825.

528262272 is a `hidden beast` number, since 5 + 28 + 2 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×528262272² = 558122056037203968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (528262277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158479 + ... + 161777.

Almost surely, 2^528262272 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 528262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765765000).

528262272 is an abundant number, since it is smaller than the sum of its proper divisors (1003267728).

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

528262272 is a wasteful number, since it uses less digits than its factorization.

528262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3443 counting only the distinct ones).

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

The square root of 528262272 is about 22983.9568395000. The cubic root of 528262272 is about 808.3818082478.

The spelling of 528262272 in words is "five hundred twenty-eight million, two hundred sixty-two thousand, two hundred seventy-two".