36318528 has 84 divisors (see below), whose sum is σ = 110253780. Its totient is φ = 11390976.

The previous prime is 36318523. The next prime is 36318551. The reversal of 36318528 is 82581363.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 17239104 = 4368^2 + 4152^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 36318492 and 36318501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36318523) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7938 + ... + 11646.

It is an arithmetic number, because the mean of its divisors is an integer number (1312545).

Almost surely, 2^36318528 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 36318528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55126890).

36318528 is an abundant number, since it is smaller than the sum of its proper divisors (73935252).

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

36318528 is a wasteful number, since it uses less digits than its factorization.

36318528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3731 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 36318528 is about 6026.4855430010. The cubic root of 36318528 is about 331.1637151316.

The spelling of 36318528 in words is "thirty-six million, three hundred eighteen thousand, five hundred twenty-eight".