728662584 has 96 divisors (see below), whose sum is σ = 2032495920. Its totient is φ = 216394752.

The previous prime is 728662577. The next prime is 728662589. The reversal of 728662584 is 485266827.

It is a super-2 number, since 2×728662584² = 1061898322643114112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728662589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261004 + ... + 263780.

Almost surely, 2^728662584 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 728662584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016247960).

728662584 is an abundant number, since it is smaller than the sum of its proper divisors (1303833336).

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

728662584 is a wasteful number, since it uses less digits than its factorization.

728662584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2824 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 728662584 is about 26993.7508323686. The cubic root of 728662584 is about 899.8611242507.

The spelling of 728662584 in words is "seven hundred twenty-eight million, six hundred sixty-two thousand, five hundred eighty-four".