1530966528 has 320 divisors, whose sum is σ = 5582142720. Its totient is φ = 403439616.

The previous prime is 1530966509. The next prime is 1530966581. The reversal of 1530966528 is 8256690351.

1530966528 is a `hidden beast` number, since 1 + 5 + 30 + 96 + 6 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257376 + ... + 1258592.

It is an arithmetic number, because the mean of its divisors is an integer number (17444196).

Almost surely, 2^1530966528 is an apocalyptic number.

1530966528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791071360).

1530966528 is an abundant number, since it is smaller than the sum of its proper divisors (4051176192).

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

1530966528 is a wasteful number, since it uses less digits than its factorization.

1530966528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 1530966528 is about 39127.5673662445. The cubic root of 1530966528 is about 1152.5379432049.

The spelling of 1530966528 in words is "one billion, five hundred thirty million, nine hundred sixty-six thousand, five hundred twenty-eight".