728213138401 has 8 divisors (see below), whose sum is σ = 854736656960. Its totient is φ = 607312887408.

The previous prime is 728213138363. The next prime is 728213138413. The reversal of 728213138401 is 104831312827.

728213138401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 728213138401 - 2¹⁷ = 728213007329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728213135401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1405816611 + ... + 1405817128.

It is an arithmetic number, because the mean of its divisors is an integer number (106842082120).

Almost surely, 2^728213138401 is an apocalyptic number.

It is an amenable number.

728213138401 is a deficient number, since it is larger than the sum of its proper divisors (126523518559).

728213138401 is a wasteful number, since it uses less digits than its factorization.

728213138401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811633783.

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 728213138401 in words is "seven hundred twenty-eight billion, two hundred thirteen million, one hundred thirty-eight thousand, four hundred one".