36842528 has 54 divisors (see below), whose sum is σ = 77206311. Its totient is φ = 17305344.

The previous prime is 36842513. The next prime is 36842537. The reversal of 36842528 is 82524863.

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.

It can be written as a sum of positive squares in 5 ways, for example, as 33500944 + 3341584 = 5788^2 + 1828^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4292.

It is a super-3 number, since 3×36842528³ (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36842491 and 36842500.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 995726 + ... + 995762.

Almost surely, 2^36842528 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 36842528

36842528 is an abundant number, since it is smaller than the sum of its proper divisors (40363783).

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

36842528 is an equidigital number, since it uses as much as digits as its factorization.

36842528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 68 counting only the distinct ones).

The product of its digits is 92160, while the sum is 38.

The square root of 36842528 is about 6069.8046097053. The cubic root of 36842528 is about 332.7487817197.

The spelling of 36842528 in words is "thirty-six million, eight hundred forty-two thousand, five hundred twenty-eight".