162828864 has 168 divisors, whose sum is σ = 526206720. Its totient is φ = 47692800.

The previous prime is 162828863. The next prime is 162828893. The reversal of 162828864 is 468828261.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (162828863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196002 + ... + 196830.

Almost surely, 2^162828864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263103360).

162828864 is an abundant number, since it is smaller than the sum of its proper divisors (363377856).

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

162828864 is a wasteful number, since it uses less digits than its factorization.

162828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 876 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 162828864 is about 12760.4413716768. The cubic root of 162828864 is about 546.0643163780.

The spelling of 162828864 in words is "one hundred sixty-two million, eight hundred twenty-eight thousand, eight hundred sixty-four".