728464827 has 16 divisors (see below), whose sum is σ = 978607872. Its totient is φ = 481995360.

The previous prime is 728464819. The next prime is 728464829.

It is a happy number.

728464827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 728464827 - 2³ = 728464819 is a prime.

It is a super-2 number, since 2×728464827² = 1061322008352279858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728464829) 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, 286552 + ... + 289082.

It is an arithmetic number, because the mean of its divisors is an integer number (61162992).

Almost surely, 2^728464827 is an apocalyptic number.

728464827 is a deficient number, since it is larger than the sum of its proper divisors (250143045).

728464827 is a wasteful number, since it uses less digits than its factorization.

728464827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218.

The product of its digits is 1204224, while the sum is 48.

The square root of 728464827 is about 26990.0875693281. The cubic root of 728464827 is about 899.7797102824.

The spelling of 728464827 in words is "seven hundred twenty-eight million, four hundred sixty-four thousand, eight hundred twenty-seven".