40728000 has 112 divisors (see below), whose sum is σ = 134563104. Its totient is φ = 10854400.

The previous prime is 40727993. The next prime is 40728019. The reversal of 40728000 is 82704.

It is a happy number.

40728000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 23152 + ... + 24848.

Almost surely, 2^40728000 is an apocalyptic number.

40728000 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 40728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67281552).

40728000 is an abundant number, since it is smaller than the sum of its proper divisors (93835104).

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

40728000 is a wasteful number, since it uses less digits than its factorization.

40728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 40728000 is about 6381.8492617736. The cubic root of 40728000 is about 344.0574989518.

The spelling of 40728000 in words is "forty million, seven hundred twenty-eight thousand".