40782528 has 70 divisors (see below), whose sum is σ = 120907556. Its totient is φ = 13592448.

The previous prime is 40782523. The next prime is 40782529. The reversal of 40782528 is 82528704.

It is a happy number.

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 = 40782492 and 40782501.

It is not an unprimeable number, because it can be changed into a prime (40782523) 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 9 ways as a sum of consecutive naturals, for example, 1251 + ... + 9117.

Almost surely, 2^40782528 is an apocalyptic number.

40782528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40782528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60453778).

40782528 is an abundant number, since it is smaller than the sum of its proper divisors (80125028).

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

40782528 is an equidigital number, since it uses as much as digits as its factorization.

40782528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7872 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 40782528 is about 6386.1199487639. The cubic root of 40782528 is about 344.2109756837.

The spelling of 40782528 in words is "forty million, seven hundred eighty-two thousand, five hundred twenty-eight".