728364 has 96 divisors (see below), whose sum is σ = 2257920. Its totient is φ = 177408.

The previous prime is 728333. The next prime is 728369. The reversal of 728364 is 463827.

728364 = T₇₇ + T₇₈ + ... + T₁₆₈.

728364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (728369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25102 + ... + 25130.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁷²⁸³⁶⁴ 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 728364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128960).

728364 is an abundant number, since it is smaller than the sum of its proper divisors (1529556).

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

728364 is a wasteful number, since it uses less digits than its factorization.

728364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 77 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 728364 is about 853.4424409414. The cubic root of 728364 is about 89.9738195455.

The spelling of 728364 in words is "seven hundred twenty-eight thousand, three hundred sixty-four".