728460100 has 27 divisors (see below), whose sum is σ = 1581344317. Its totient is φ = 291276080.

The previous prime is 728460067. The next prime is 728460101. The reversal of 728460100 is 1064827.

The square root of 728460100 is 26990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 262245636 + 466214464 = 16194^2 + 21592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728460101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 268551 + ... + 271249.

Almost surely, 2^728460100 is an apocalyptic number.

728460100 is the 26990-th square number.

It is an amenable number.

728460100 is an abundant number, since it is smaller than the sum of its proper divisors (852884217).

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

728460100 is an equidigital number, since it uses as much as digits as its factorization.

728460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5412 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 728460100 is about 899.7777640581. Note that the first 4 decimals are identical.

The spelling of 728460100 in words is "seven hundred twenty-eight million, four hundred sixty thousand, one hundred".