404285728 has 96 divisors (see below), whose sum is σ = 1013741568. Its totient is φ = 154118400.

The previous prime is 404285711. The next prime is 404285737. The reversal of 404285728 is 827582404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114063 + ... + 117553.

It is an arithmetic number, because the mean of its divisors is an integer number (10559808).

Almost surely, 2^404285728 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 404285728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506870784).

404285728 is an abundant number, since it is smaller than the sum of its proper divisors (609455840).

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

404285728 is a wasteful number, since it uses less digits than its factorization.

404285728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 40.

The square root of 404285728 is about 20106.8577356085. The cubic root of 404285728 is about 739.4284166643.

The spelling of 404285728 in words is "four hundred four million, two hundred eighty-five thousand, seven hundred twenty-eight".