728190 has 80 divisors (see below), whose sum is σ = 2090880. Its totient is φ = 181440.

The previous prime is 728173. The next prime is 728191. The reversal of 728190 is 91827.

It is a super-2 number, since 2×728190² = 1060521352200, which contains 22 as substring.

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

It is a Curzon number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728191) by changing a digit.

728190 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23475 + ... + 23505.

It is an arithmetic number, because the mean of its divisors is an integer number (26136).

2⁷²⁸¹⁹⁰ is an apocalyptic number.

728190 is the 540-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1045440).

728190 is an abundant number, since it is smaller than the sum of its proper divisors (1362690).

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

728190 is a wasteful number, since it uses less digits than its factorization.

728190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 728190 is about 853.3404947616. The cubic root of 728190 is about 89.9666543134.

The spelling of 728190 in words is "seven hundred twenty-eight thousand, one hundred ninety".