167728407 has 16 divisors (see below), whose sum is σ = 278821632. Its totient is φ = 87131520.

The previous prime is 167728399. The next prime is 167728453. The reversal of 167728407 is 704827761.

It is not a de Polignac number, because 167728407 - 2³ = 167728399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167728207) 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, 362818 + ... + 363279.

It is an arithmetic number, because the mean of its divisors is an integer number (17426352).

Almost surely, 2^167728407 is an apocalyptic number.

167728407 is a deficient number, since it is larger than the sum of its proper divisors (111093225).

167728407 is a wasteful number, since it uses less digits than its factorization.

167728407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726118.

The product of its (nonzero) digits is 131712, while the sum is 42.

The square root of 167728407 is about 12951.0002316423. Note that the first 3 decimals coincide. The cubic root of 167728407 is about 551.4873318483.

The spelling of 167728407 in words is "one hundred sixty-seven million, seven hundred twenty-eight thousand, four hundred seven".