40728320 has 72 divisors (see below), whose sum is σ = 99779904. Its totient is φ = 15921152.

The previous prime is 40728313. The next prime is 40728323. The reversal of 40728320 is 2382704.

It is a self number, because there is not a number n which added to its sum of digits gives 40728320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40728323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59822 + ... + 60498.

It is an arithmetic number, because the mean of its divisors is an integer number (1385832).

Almost surely, 2^40728320 is an apocalyptic number.

40728320 is a gapful number since it is divisible by the number (40) 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 40728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49889952).

40728320 is an abundant number, since it is smaller than the sum of its proper divisors (59051584).

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

40728320 is an equidigital number, since it uses as much as digits as its factorization.

40728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 40728320 is about 6381.8743328273. The cubic root of 40728320 is about 344.0584000363.

The spelling of 40728320 in words is "forty million, seven hundred twenty-eight thousand, three hundred twenty".