167028480 has 252 divisors, whose sum is σ = 603204840. Its totient is φ = 44292096.

The previous prime is 167028479. The next prime is 167028481. The reversal of 167028480 is 84820761.

It is an interprime number because it is at equal distance from previous prime (167028479) and next prime (167028481).

It is a super-2 number, since 2×167028480² = 55797026262220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167028481) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933031 + ... + 933209.

It is an arithmetic number, because the mean of its divisors is an integer number (2393670).

Almost surely, 2^167028480 is an apocalyptic number.

167028480 is a gapful number since it is divisible by the number (10) 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 167028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301602420).

167028480 is an abundant number, since it is smaller than the sum of its proper divisors (436176360).

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

167028480 is an frugal number, since it uses more digits than its factorization.

167028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 167028480 is about 12923.9498606270. The cubic root of 167028480 is about 550.7191474298.

The spelling of 167028480 in words is "one hundred sixty-seven million, twenty-eight thousand, four hundred eighty".