403728 has 40 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 124032.

The previous prime is 403721. The next prime is 403729. The reversal of 403728 is 827304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 403698 and 403707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403721) 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, 301 + ... + 947.

2⁴⁰³⁷²⁸ is an apocalyptic number.

403728 is a gapful number since it is divisible by the number (48) 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 403728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

403728 is an abundant number, since it is smaller than the sum of its proper divisors (721200).

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

403728 is a wasteful number, since it uses less digits than its factorization.

403728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 403728 is about 635.3959395527. The cubic root of 403728 is about 73.9088236696.

The spelling of 403728 in words is "four hundred three thousand, seven hundred twenty-eight".