36361728 has 120 divisors (see below), whose sum is σ = 113201088. Its totient is φ = 11169792.

The previous prime is 36361723. The next prime is 36361733. The reversal of 36361728 is 82716363.

It is a happy number.

36361728 is a `hidden beast` number, since 3 + 636 + 17 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (36361723) and next prime (36361733).

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 = 36361692 and 36361701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36361723) 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, 59601 + ... + 60207.

Almost surely, 2^36361728 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 36361728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56600544).

36361728 is an abundant number, since it is smaller than the sum of its proper divisors (76839360).

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

36361728 is a wasteful number, since it uses less digits than its factorization.

36361728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 625 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 36361728 is about 6030.0686563256. The cubic root of 36361728 is about 331.2949668159.

The spelling of 36361728 in words is "thirty-six million, three hundred sixty-one thousand, seven hundred twenty-eight".