163828224 has 160 divisors (see below), whose sum is σ = 554547840. Its totient is φ = 46780416.

The previous prime is 163828219. The next prime is 163828253. The reversal of 163828224 is 422828361.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95922 + ... + 97614.

It is an arithmetic number, because the mean of its divisors is an integer number (3465924).

Almost surely, 2^163828224 is an apocalyptic number.

163828224 is a gapful number since it is divisible by the number (14) 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 163828224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277273920).

163828224 is an abundant number, since it is smaller than the sum of its proper divisors (390719616).

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

163828224 is an equidigital number, since it uses as much as digits as its factorization.

163828224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1705 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 163828224 is about 12799.5399917341. The cubic root of 163828224 is about 547.1791928068.

The spelling of 163828224 in words is "one hundred sixty-three million, eight hundred twenty-eight thousand, two hundred twenty-four".