728624 has 40 divisors (see below), whose sum is σ = 1583232. Its totient is φ = 322560.

The previous prime is 728579. The next prime is 728627. The reversal of 728624 is 426827.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728627) 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, 6392 + ... + 6504.

2⁷²⁸⁶²⁴ 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 728624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616).

728624 is an abundant number, since it is smaller than the sum of its proper divisors (854608).

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

728624 is a wasteful number, since it uses less digits than its factorization.

728624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its digits is 5376, while the sum is 29.

The square root of 728624 is about 853.5947516240. The cubic root of 728624 is about 89.9845240880.

The spelling of 728624 in words is "seven hundred twenty-eight thousand, six hundred twenty-four".