168028416 has 108 divisors (see below), whose sum is σ = 488101068. Its totient is φ = 55590912.

The previous prime is 168028411. The next prime is 168028417. The reversal of 168028416 is 614820861.

168028416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 155750400 = 3504^2 + 12480^2 .

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

It is not an unprimeable number, because it can be changed into a prime (168028411) 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, 536676 + ... + 536988.

Almost surely, 2^168028416 is an apocalyptic number.

168028416 is a gapful number since it is divisible by the number (16) 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 168028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244050534).

168028416 is an abundant number, since it is smaller than the sum of its proper divisors (320072652).

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

168028416 is a wasteful number, since it uses less digits than its factorization.

168028416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 168028416 is about 12962.5775214654. The cubic root of 168028416 is about 551.8159436769.

The spelling of 168028416 in words is "one hundred sixty-eight million, twenty-eight thousand, four hundred sixteen".