407728 has 20 divisors (see below), whose sum is σ = 837000. Its totient is φ = 191744.

The previous prime is 407723. The next prime is 407741. The reversal of 407728 is 827704.

407728 = 97² + 98² + ... + 128².

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 407696 and 407705.

It is not an unprimeable number, because it can be changed into a prime (407723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478 + ... + 1021.

It is an arithmetic number, because the mean of its divisors is an integer number (41850).

2⁴⁰⁷⁷²⁸ is an apocalyptic number.

It is an amenable number.

407728 is an abundant number, since it is smaller than the sum of its proper divisors (429272).

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

407728 is a wasteful number, since it uses less digits than its factorization.

407728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 28.

The square root of 407728 is about 638.5358251500. The cubic root of 407728 is about 74.1521098112.

The spelling of 407728 in words is "four hundred seven thousand, seven hundred twenty-eight".