36910728 has 56 divisors (see below), whose sum is σ = 103780350. Its totient is φ = 12301632.

The previous prime is 36910721. The next prime is 36910729. The reversal of 36910728 is 82701963.

It can be written as a sum of positive squares in only one way, i.e., 27436644 + 9474084 = 5238^2 + 3078^2 .

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

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 36910692 and 36910701.

It is not an unprimeable number, because it can be changed into a prime (36910721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2668 + ... + 8996.

Almost surely, 2^36910728 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 36910728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51890175).

36910728 is an abundant number, since it is smaller than the sum of its proper divisors (66869622).

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

36910728 is an equidigital number, since it uses as much as digits as its factorization.

36910728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6353 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 36910728 is about 6075.4199854825. The cubic root of 36910728 is about 332.9539746470.

The spelling of 36910728 in words is "thirty-six million, nine hundred ten thousand, seven hundred twenty-eight".