930864528 has 320 divisors, whose sum is σ = 3085516800. Its totient is φ = 266112000.

The previous prime is 930864523. The next prime is 930864541. The reversal of 930864528 is 825468039.

It is not an unprimeable number, because it can be changed into a prime (930864521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10459108 + ... + 10459196.

It is an arithmetic number, because the mean of its divisors is an integer number (9642240).

Almost surely, 2^930864528 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 930864528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542758400).

930864528 is an abundant number, since it is smaller than the sum of its proper divisors (2154652272).

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

930864528 is a wasteful number, since it uses less digits than its factorization.

930864528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 930864528 is about 30510.0725662854. The cubic root of 930864528 is about 976.4023748501.

The spelling of 930864528 in words is "nine hundred thirty million, eight hundred sixty-four thousand, five hundred twenty-eight".