167132628 has 72 divisors (see below), whose sum is σ = 474784128. Its totient is φ = 49186368.

The previous prime is 167132621. The next prime is 167132657. The reversal of 167132628 is 826231761.

167132628 is a `hidden beast` number, since 16 + 7 + 13 + 2 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 167132592 and 167132601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167132621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001 + ... + 18527.

It is an arithmetic number, because the mean of its divisors is an integer number (6594224).

Almost surely, 2^167132628 is an apocalyptic number.

167132628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167132628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237392064).

167132628 is an abundant number, since it is smaller than the sum of its proper divisors (307651500).

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

167132628 is a wasteful number, since it uses less digits than its factorization.

167132628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15573 (or 15568 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 167132628 is about 12927.9784962692. The cubic root of 167132628 is about 550.8335877550.

The spelling of 167132628 in words is "one hundred sixty-seven million, one hundred thirty-two thousand, six hundred twenty-eight".