728142401 has 6 divisors (see below), whose sum is σ = 847022850. Its totient is φ = 624122016.

The previous prime is 728142367. The next prime is 728142413. The reversal of 728142401 is 104241827.

It can be written as a sum of positive squares in only one way, i.e., 637512001 + 90630400 = 25249^2 + 9520^2 .

It is not a de Polignac number, because 728142401 - 2²⁶ = 661033537 is a prime.

It is a super-2 number, since 2×728142401² = 1060382712268089602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728147401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7429976 + ... + 7430073.

It is an arithmetic number, because the mean of its divisors is an integer number (141170475).

Almost surely, 2^728142401 is an apocalyptic number.

It is an amenable number.

728142401 is a deficient number, since it is larger than the sum of its proper divisors (118880449).

728142401 is a wasteful number, since it uses less digits than its factorization.

728142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14860063 (or 14860056 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 728142401 is about 26984.1138635309. The cubic root of 728142401 is about 899.6469401175.

The spelling of 728142401 in words is "seven hundred twenty-eight million, one hundred forty-two thousand, four hundred one".