728848827 has 32 divisors (see below), whose sum is σ = 1241218560. Its totient is φ = 414059040.

The previous prime is 728848823. The next prime is 728848849.

728848827 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 728848827 - 2² = 728848823 is a prime.

It is a super-2 number, since 2×728848827² = 1062441225238551858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (728848823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21552 + ... + 43842.

It is an arithmetic number, because the mean of its divisors is an integer number (38788080).

Almost surely, 2^728848827 is an apocalyptic number.

728848827 is a deficient number, since it is larger than the sum of its proper divisors (512369733).

728848827 is a wasteful number, since it uses less digits than its factorization.

728848827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22480 (or 22474 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The square root of 728848827 is about 26997.2003548516. The cubic root of 728848827 is about 899.9377845881.

The spelling of 728848827 in words is "seven hundred twenty-eight million, eight hundred forty-eight thousand, eight hundred twenty-seven".