728537735827 has 16 divisors (see below), whose sum is σ = 841673687904. Its totient is φ = 623233600000.

The previous prime is 728537735801. The next prime is 728537735899.

728537735827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 728537735827 - 2¹⁵ = 728537703059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (728537735927) 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, 674577 + ... + 1382797.

It is an arithmetic number, because the mean of its divisors is an integer number (52604605494).

Almost surely, 2^728537735827 is an apocalyptic number.

728537735827 is a deficient number, since it is larger than the sum of its proper divisors (113135952077).

728537735827 is a wasteful number, since it uses less digits than its factorization.

728537735827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713750.

The product of its digits is 138297600, while the sum is 64.

The spelling of 728537735827 in words is "seven hundred twenty-eight billion, five hundred thirty-seven million, seven hundred thirty-five thousand, eight hundred twenty-seven".