36828500 has 48 divisors (see below), whose sum is σ = 81616080. Its totient is φ = 14515200.

The previous prime is 36828487. The next prime is 36828503. The reversal of 36828500 is 582863.

36828500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14227984 + 22600516 = 3772^2 + 4754^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36828503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35996 + ... + 37004.

It is an arithmetic number, because the mean of its divisors is an integer number (1700335).

Almost surely, 2^36828500 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 36828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40808040).

36828500 is an abundant number, since it is smaller than the sum of its proper divisors (44787580).

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

36828500 is a wasteful number, since it uses less digits than its factorization.

36828500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 36828500 is about 6068.6489435458. The cubic root of 36828500 is about 332.7065443677.

The spelling of 36828500 in words is "thirty-six million, eight hundred twenty-eight thousand, five hundred".