728448 has 64 divisors (see below), whose sum is σ = 2219520. Its totient is φ = 207360.

The previous prime is 728437. The next prime is 728471. The reversal of 728448 is 844827.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

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, 2553 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (34680).

2⁷²⁸⁴⁴⁸ 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 728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109760).

728448 is an abundant number, since it is smaller than the sum of its proper divisors (1491072).

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

728448 is a wasteful number, since it uses less digits than its factorization.

728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 728448 is about 853.4916519803. The cubic root of 728448 is about 89.9772782147.

It can be divided in two parts, 728 and 448, that added together give a triangular number (1176 = T₄₈).

The spelling of 728448 in words is "seven hundred twenty-eight thousand, four hundred forty-eight".