40609728 has 112 divisors (see below), whose sum is σ = 121432320. Its totient is φ = 13305600.

The previous prime is 40609727. The next prime is 40609741. The reversal of 40609728 is 82790604.

40609728 is a `hidden beast` number, since 40 + 609 + 7 + 2 + 8 = 666.

40609728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 40609692 and 40609701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40609727) 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, 122523 + ... + 122853.

Almost surely, 2^40609728 is an apocalyptic number.

40609728 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 40609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60716160).

40609728 is an abundant number, since it is smaller than the sum of its proper divisors (80822592).

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

40609728 is a wasteful number, since it uses less digits than its factorization.

40609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40609728 is about 6372.5762451304. The cubic root of 40609728 is about 343.7241343403.

The spelling of 40609728 in words is "forty million, six hundred nine thousand, seven hundred twenty-eight".