40028688 has 240 divisors, whose sum is σ = 140229120. Its totient is φ = 10886400.

The previous prime is 40028641. The next prime is 40028689. The reversal of 40028688 is 88682004.

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

It is not an unprimeable number, because it can be changed into a prime (40028689) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656178 + ... + 656238.

It is an arithmetic number, because the mean of its divisors is an integer number (584288).

Almost surely, 2^40028688 is an apocalyptic number.

40028688 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 40028688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70114560).

40028688 is an abundant number, since it is smaller than the sum of its proper divisors (100200432).

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

40028688 is a wasteful number, since it uses less digits than its factorization.

40028688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 40028688 is about 6326.8228993706. The cubic root of 40028688 is about 342.0769294470.

The spelling of 40028688 in words is "forty million, twenty-eight thousand, six hundred eighty-eight".