1528536960 has 256 divisors, whose sum is σ = 5519016000. Its totient is φ = 399679488.

The previous prime is 1528536937. The next prime is 1528536983. The reversal of 1528536960 is 696358251.

1528536960 is a `hidden beast` number, since 1 + 5 + 28 + 536 + 96 + 0 = 666.

1528536960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1528536937) and next prime (1528536983).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 915006 + ... + 916674.

Almost surely, 2^1528536960 is an apocalyptic number.

1528536960 is a gapful number since it is divisible by the number (10) 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 1528536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759508000).

1528536960 is an abundant number, since it is smaller than the sum of its proper divisors (3990479040).

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

1528536960 is a wasteful number, since it uses less digits than its factorization.

1528536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1732 counting only the distinct ones).

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

The square root of 1528536960 is about 39096.5082839887. The cubic root of 1528536960 is about 1151.9279468823.

The spelling of 1528536960 in words is "one billion, five hundred twenty-eight million, five hundred thirty-six thousand, nine hundred sixty".