36505728 has 160 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 10409472.

The previous prime is 36505727. The next prime is 36505747. The reversal of 36505728 is 82750563.

36505728 is a `hidden beast` number, since 36 + 50 + 572 + 8 = 666.

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 = 36505692 and 36505701.

It is not an unprimeable number, because it can be changed into a prime (36505723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72325 + ... + 72827.

It is an arithmetic number, because the mean of its divisors is an integer number (777546).

Almost surely, 2^36505728 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 36505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

36505728 is an abundant number, since it is smaller than the sum of its proper divisors (87901632).

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

36505728 is an equidigital number, since it uses as much as digits as its factorization.

36505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 36505728 is about 6041.9970208533. The cubic root of 36505728 is about 331.7317230812.

Adding to 36505728 its sum of digits (36), we get a square (36505764 = 6042²).

It can be divided in two parts, 365057 and 28, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 36505728 in words is "thirty-six million, five hundred five thousand, seven hundred twenty-eight".