728111461 has 16 divisors (see below), whose sum is σ = 920567808. Its totient is φ = 559364400.

The previous prime is 728111453. The next prime is 728111471. The reversal of 728111461 is 164111827.

728111461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 728111461 - 2³ = 728111453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728111401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61125 + ... + 72058.

It is an arithmetic number, because the mean of its divisors is an integer number (57535488).

Almost surely, 2^728111461 is an apocalyptic number.

728111461 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

728111461 is a deficient number, since it is larger than the sum of its proper divisors (192456347).

728111461 is a wasteful number, since it uses less digits than its factorization.

728111461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133272.

The product of its digits is 2688, while the sum is 31.

The square root of 728111461 is about 26983.5405571619. The cubic root of 728111461 is about 899.6341974312.

The spelling of 728111461 in words is "seven hundred twenty-eight million, one hundred eleven thousand, four hundred sixty-one".