528416 has 36 divisors (see below), whose sum is σ = 1213758. Its totient is φ = 225792.

The previous prime is 528413. The next prime is 528419. The reversal of 528416 is 614825.

It is an interprime number because it is at equal distance from previous prime (528413) and next prime (528419).

It can be written as a sum of positive squares in only one way, i.e., 490000 + 38416 = 700^2 + 196^2 .

It is a d-powerful number, because it can be written as 5² + 2¹⁸ + 4⁹ + 8⁴ + 1 + 6 .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1400 + ... + 1736.

2⁵²⁸⁴¹⁶ is an apocalyptic number.

528416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606879).

528416 is an abundant number, since it is smaller than the sum of its proper divisors (685342).

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

528416 is a wasteful number, since it uses less digits than its factorization.

528416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 528416 is about 726.9222792018. The cubic root of 528416 is about 80.8460215554.

The spelling of 528416 in words is "five hundred twenty-eight thousand, four hundred sixteen".