728352 has 60 divisors (see below), whose sum is σ = 2149686. Its totient is φ = 241920.

The previous prime is 728333. The next prime is 728369. The reversal of 728352 is 253827.

It can be written as a sum of positive squares in only one way, i.e., 571536 + 156816 = 756^2 + 396^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2452 + ... + 2732.

2⁷²⁸³⁵² is an apocalyptic number.

728352 is a gapful number since it is divisible by the number (72) 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 728352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074843).

728352 is an abundant number, since it is smaller than the sum of its proper divisors (1421334).

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

728352 is a wasteful number, since it uses less digits than its factorization.

728352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 728352 is about 853.4354105613. The cubic root of 728352 is about 89.9733254282.

The spelling of 728352 in words is "seven hundred twenty-eight thousand, three hundred fifty-two".