407728827 has 24 divisors (see below), whose sum is σ = 643930560. Its totient is φ = 246551280.

The previous prime is 407728823. The next prime is 407728829. The reversal of 407728827 is 728827704.

It is not a de Polignac number, because 407728827 - 2² = 407728823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407728823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41824 + ... + 50642.

It is an arithmetic number, because the mean of its divisors is an integer number (26830440).

Almost surely, 2^407728827 is an apocalyptic number.

407728827 is a deficient number, since it is larger than the sum of its proper divisors (236201733).

407728827 is a wasteful number, since it uses less digits than its factorization.

407728827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 407728827 is about 20192.2962290077. The cubic root of 407728827 is about 741.5215994576.

The spelling of 407728827 in words is "four hundred seven million, seven hundred twenty-eight thousand, eight hundred twenty-seven".