728088 has 32 divisors (see below), whose sum is σ = 1900800. Its totient is φ = 231968.

The previous prime is 728087. The next prime is 728113. The reversal of 728088 is 880827.

It is a super-2 number, since 2×728088² = 1060224271488, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728088.

It is not an unprimeable number, because it can be changed into a prime (728087) 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, 108 + ... + 1211.

It is an arithmetic number, because the mean of its divisors is an integer number (59400).

2⁷²⁸⁰⁸⁸ 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 728088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950400).

728088 is an abundant number, since it is smaller than the sum of its proper divisors (1172712).

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

728088 is a wasteful number, since it uses less digits than its factorization.

728088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 728088 is about 853.2807275452. The cubic root of 728088 is about 89.9624534742.

The spelling of 728088 in words is "seven hundred twenty-eight thousand, eighty-eight".