36440928 has 120 divisors (see below), whose sum is σ = 113613192. Its totient is φ = 11418624.

The previous prime is 36440927. The next prime is 36440941. The reversal of 36440928 is 82904463.

It is a happy number.

36440928 is a `hidden beast` number, since 3 + 644 + 0 + 9 + 2 + 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 = 36440892 and 36440901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36440927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43651 + ... + 44477.

Almost surely, 2^36440928 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 36440928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56806596).

36440928 is an abundant number, since it is smaller than the sum of its proper divisors (77172264).

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

36440928 is a wasteful number, since it uses less digits than its factorization.

36440928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36440928 is about 6036.6321736544. The cubic root of 36440928 is about 331.5353251600.

The spelling of 36440928 in words is "thirty-six million, four hundred forty thousand, nine hundred twenty-eight".