528644064 has 96 divisors (see below), whose sum is σ = 1529345664. Its totient is φ = 158860800.

The previous prime is 528644059. The next prime is 528644113. The reversal of 528644064 is 460446825.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48739 + ... + 58589.

It is an arithmetic number, because the mean of its divisors is an integer number (15930684).

Almost surely, 2^528644064 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 528644064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764672832).

528644064 is an abundant number, since it is smaller than the sum of its proper divisors (1000701600).

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

528644064 is a wasteful number, since it uses less digits than its factorization.

528644064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9920 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 528644064 is about 22992.2609588531. The cubic root of 528644064 is about 808.5765091254.

The spelling of 528644064 in words is "five hundred twenty-eight million, six hundred forty-four thousand, sixty-four".