528924480 has 224 divisors, whose sum is σ = 1981931520. Its totient is φ = 116951040.

The previous prime is 528924469. The next prime is 528924481. The reversal of 528924480 is 84429825.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×528924480² = 559522211086540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528924481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207051 + ... + 209589.

Almost surely, 2^528924480 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 528924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990965760).

528924480 is an abundant number, since it is smaller than the sum of its proper divisors (1453007040).

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

528924480 is a wasteful number, since it uses less digits than its factorization.

528924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 528924480 is about 22998.3582022717. The cubic root of 528924480 is about 808.7194520033.

The spelling of 528924480 in words is "five hundred twenty-eight million, nine hundred twenty-four thousand, four hundred eighty".