528588480 has 336 divisors, whose sum is σ = 2070238176. Its totient is φ = 113541120.

The previous prime is 528588479. The next prime is 528588491. The reversal of 528588480 is 84885825.

It is a happy number.

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 (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799350 + ... + 800010.

Almost surely, 2^528588480 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 528588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035119088).

528588480 is an abundant number, since it is smaller than the sum of its proper divisors (1541649696).

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

528588480 is a wasteful number, since it uses less digits than its factorization.

528588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 48.

The square root of 528588480 is about 22991.0521725301. The cubic root of 528588480 is about 808.5481690160.

The spelling of 528588480 in words is "five hundred twenty-eight million, five hundred eighty-eight thousand, four hundred eighty".