528638248320 has 1536 divisors, whose sum is σ = 2220430786560. Its totient is φ = 105902899200.

The previous prime is 528638248261. The next prime is 528638248337. The reversal of 528638248320 is 23842836825.

It is a super-3 number, since 3×528638248320³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2767739425 + ... + 2767739615.

It is an arithmetic number, because the mean of its divisors is an integer number (1445592960).

Almost surely, 2^528638248320 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 528638248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110215393280).

528638248320 is an abundant number, since it is smaller than the sum of its proper divisors (1691792538240).

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

528638248320 is a wasteful number, since it uses less digits than its factorization.

528638248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 528638248320 in words is "five hundred twenty-eight billion, six hundred thirty-eight million, two hundred forty-eight thousand, three hundred twenty".