728581000 has 96 divisors (see below), whose sum is σ = 1983360600. Its totient is φ = 249782400.

The previous prime is 728580971. The next prime is 728581031. The reversal of 728581000 is 185827.

It can be written as a sum of positive squares in 4 ways, for example, as 127644804 + 600936196 = 11298^2 + 24514^2 .

It is a super-2 number, since 2×728581000² = 1061660547122000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41566 + ... + 56434.

Almost surely, 2^728581000 is an apocalyptic number.

728581000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728581000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991680300).

728581000 is an abundant number, since it is smaller than the sum of its proper divisors (1254779600).

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

728581000 is a wasteful number, since it uses less digits than its factorization.

728581000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14904 (or 14883 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 728581000 is about 26992.2396254924. The cubic root of 728581000 is about 899.8275389710.

The spelling of 728581000 in words is "seven hundred twenty-eight million, five hundred eighty-one thousand".