8130528 has 144 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 2239488.

The previous prime is 8130509. The next prime is 8130547. The reversal of 8130528 is 8250318.

It is a happy number.

8130528 is a `hidden beast` number, since 8 + 130 + 528 = 666.

8130528 is a nontrivial binomial coefficient, being equal to C(4033, 2).

It is an interprime number because it is at equal distance from previous prime (8130509) and next prime (8130547).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×8130528² = 132210971117568, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74538 + ... + 74646.

It is an arithmetic number, because the mean of its divisors is an integer number (190190).

Almost surely, 2^8130528 is an apocalyptic number.

8130528 is the 4032-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8130528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

8130528 is an abundant number, since it is smaller than the sum of its proper divisors (19256832).

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

8130528 is a wasteful number, since it uses less digits than its factorization.

8130528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8130528 is about 2851.4080732158. The cubic root of 8130528 is about 201.0818705615.

The spelling of 8130528 in words is "eight million, one hundred thirty thousand, five hundred twenty-eight".