40766328 has 80 divisors (see below), whose sum is σ = 116435880. Its totient is φ = 13321152.

The previous prime is 40766321. The next prime is 40766329. The reversal of 40766328 is 82366704.

40766328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 40766292 and 40766301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40766321) 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 19 ways as a sum of consecutive naturals, for example, 33751 + ... + 34937.

Almost surely, 2^40766328 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 40766328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58217940).

40766328 is an abundant number, since it is smaller than the sum of its proper divisors (75669552).

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

40766328 is a wasteful number, since it uses less digits than its factorization.

40766328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 40766328 is about 6384.8514469798. The cubic root of 40766328 is about 344.1653927949.

It can be divided in two parts, 4076 and 6328, that added together give a square (10404 = 102²).

The spelling of 40766328 in words is "forty million, seven hundred sixty-six thousand, three hundred twenty-eight".