1528661160 has 160 divisors (see below), whose sum is σ = 5533383240. Its totient is φ = 376275456.

The previous prime is 1528661153. The next prime is 1528661161. The reversal of 1528661160 is 611668251.

1528661160 is a `hidden beast` number, since 1 + 528 + 66 + 11 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451902564 + 1076758596 = 21258^2 + 32814^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1528661161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23974 + ... + 60266.

Almost surely, 2^1528661160 is an apocalyptic number.

1528661160 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 1528661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766691620).

1528661160 is an abundant number, since it is smaller than the sum of its proper divisors (4004722080).

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

1528661160 is a wasteful number, since it uses less digits than its factorization.

1528661160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36329 (or 36316 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1528661160 is about 39098.0966288642. The cubic root of 1528661160 is about 1151.9591456866.

The spelling of 1528661160 in words is "one billion, five hundred twenty-eight million, six hundred sixty-one thousand, one hundred sixty".