728628582 has 64 divisors (see below), whose sum is σ = 1619585280. Its totient is φ = 216691200.

The previous prime is 728628559. The next prime is 728628599. The reversal of 728628582 is 285826827.

It is a super-2 number, since 2×728628582² = 1061799221014661448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957082 + ... + 957842.

It is an arithmetic number, because the mean of its divisors is an integer number (25306020).

Almost surely, 2^728628582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728628582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809792640).

728628582 is an abundant number, since it is smaller than the sum of its proper divisors (890956698).

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

728628582 is a wasteful number, since it uses less digits than its factorization.

728628582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029.

The product of its digits is 860160, while the sum is 48.

The square root of 728628582 is about 26993.1210125839. The cubic root of 728628582 is about 899.8471271211.

The spelling of 728628582 in words is "seven hundred twenty-eight million, six hundred twenty-eight thousand, five hundred eighty-two".