36828144 has 60 divisors (see below), whose sum is σ = 106633800. Its totient is φ = 11851392.

The previous prime is 36828133. The next prime is 36828193. The reversal of 36828144 is 44182863.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36828099 and 36828108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 234 + ... + 8585.

It is an arithmetic number, because the mean of its divisors is an integer number (1777230).

Almost surely, 2^36828144 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 36828144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53316900).

36828144 is an abundant number, since it is smaller than the sum of its proper divisors (69805656).

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

36828144 is a wasteful number, since it uses less digits than its factorization.

36828144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8862 (or 8853 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 36828144 is about 6068.6196123995. The cubic root of 36828144 is about 332.7054723365.

The spelling of 36828144 in words is "thirty-six million, eight hundred twenty-eight thousand, one hundred forty-four".