167828920 has 48 divisors (see below), whose sum is σ = 439271640. Its totient is φ = 57540672.

The previous prime is 167828911. The next prime is 167828923. The reversal of 167828920 is 29828761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167828923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40854 + ... + 44773.

Almost surely, 2^167828920 is an apocalyptic number.

167828920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

167828920 is an abundant number, since it is smaller than the sum of its proper divisors (271442720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

167828920 is a wasteful number, since it uses less digits than its factorization.

167828920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85652 (or 85641 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 167828920 is about 12954.8801615453. The cubic root of 167828920 is about 551.5974713653.

The spelling of 167828920 in words is "one hundred sixty-seven million, eight hundred twenty-eight thousand, nine hundred twenty".