40384728 has 96 divisors (see below), whose sum is σ = 117514800. Its totient is φ = 12489984.

The previous prime is 40384699. The next prime is 40384739. The reversal of 40384728 is 82748304.

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 = 40384692 and 40384701.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 72226 + ... + 72782.

Almost surely, 2^40384728 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 40384728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58757400).

40384728 is an abundant number, since it is smaller than the sum of its proper divisors (77130072).

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

40384728 is a wasteful number, since it uses less digits than its factorization.

40384728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 40384728 is about 6354.8979535473. The cubic root of 40384728 is about 343.0881520545.

The spelling of 40384728 in words is "forty million, three hundred eighty-four thousand, seven hundred twenty-eight".