930144528 has 120 divisors (see below), whose sum is σ = 2765950200. Its totient is φ = 290783232.

The previous prime is 930144503. The next prime is 930144533. The reversal of 930144528 is 825441039.

930144528 is a `hidden beast` number, since 93 + 0 + 1 + 44 + 528 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 184199184 + 745945344 = 13572^2 + 27312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 930144492 and 930144501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000768 + ... + 1001696.

It is an arithmetic number, because the mean of its divisors is an integer number (23049585).

Almost surely, 2^930144528 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 930144528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382975100).

930144528 is an abundant number, since it is smaller than the sum of its proper divisors (1835805672).

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

930144528 is a wasteful number, since it uses less digits than its factorization.

930144528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 930144528 is about 30498.2709018069. The cubic root of 930144528 is about 976.1505691289.

The spelling of 930144528 in words is "nine hundred thirty million, one hundred forty-four thousand, five hundred twenty-eight".