3528 has 36 divisors (see below), whose sum is σ = 11115. Its totient is φ = 1008.

The previous prime is 3527. The next prime is 3529. The reversal of 3528 is 8253.

Multipling 3528 by its sum of digits (18), we get a square (63504 = 252^{2}).

3528 divided by its sum of digits (18) gives a square (196 = 14^{2}).

Adding to 3528 its reverse (8253), we get a triangular number (11781 = T_{153}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3528 is digitally balanced in base 2, 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 (3527) and next prime (3529).

It can be written as a sum of positive squares in only one way, i.e., 1764 + 1764 = 42^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=42.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (240) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3528.

It is not an unprimeable number, because it can be changed into a prime (3527) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 501 + ... + 507.

2^{3528} 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 3528

3528 is an abundant number, since it is smaller than the sum of its proper divisors (7587).

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

3528 is a wasteful number, since it uses less digits than its factorization.

3528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26 (or 12 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 3528 is about 59.3969696197. The cubic root of 3528 is about 15.2233252220.

The spelling of 3528 in words is "three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528

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