406325728 has 48 divisors (see below), whose sum is σ = 863563680. Its totient is φ = 187618816.

The previous prime is 406325707. The next prime is 406325761. The reversal of 406325728 is 827523604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11826 + ... + 30862.

It is an arithmetic number, because the mean of its divisors is an integer number (17990910).

Almost surely, 2^406325728 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 406325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431781840).

406325728 is an abundant number, since it is smaller than the sum of its proper divisors (457237952).

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

406325728 is a wasteful number, since it uses less digits than its factorization.

406325728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19099 (or 19091 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 406325728 is about 20157.5228636854. The cubic root of 406325728 is about 740.6700335047.

It can be divided in two parts, 40632 and 5728, that added together give a triangular number (46360 = T₃₀₄).

The spelling of 406325728 in words is "four hundred six million, three hundred twenty-five thousand, seven hundred twenty-eight".