40628736 has 80 divisors (see below), whose sum is σ = 120304800. Its totient is φ = 13538304.

The previous prime is 40628723. The next prime is 40628737. The reversal of 40628736 is 63782604.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40628736.

It is not an unprimeable number, because it can be changed into a prime (40628737) 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 7 ways as a sum of consecutive naturals, for example, 12355 + ... + 15293.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 2^40628736 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 40628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60152400).

40628736 is an abundant number, since it is smaller than the sum of its proper divisors (79676064).

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

40628736 is an equidigital number, since it uses as much as digits as its factorization.

40628736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966 (or 2944 counting only the distinct ones).

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

The square root of 40628736 is about 6374.0674612056. The cubic root of 40628736 is about 343.7777544092. Note that the first 4 decimals are identical.

The spelling of 40628736 in words is "forty million, six hundred twenty-eight thousand, seven hundred thirty-six".