1628221824 has 160 divisors (see below), whose sum is σ = 4898539800. Its totient is φ = 536813568.

The previous prime is 1628221823. The next prime is 1628221841. The reversal of 1628221824 is 4281228261.

1628221824 is a `hidden beast` number, since 1 + 628 + 2 + 2 + 1 + 8 + 24 = 666.

It is a super-2 number, since 2×1628221824² = 5302212616299773952, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628221823) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1004887 + ... + 1006505.

Almost surely, 2^1628221824 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 1628221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449269900).

1628221824 is an abundant number, since it is smaller than the sum of its proper divisors (3270317976).

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

1628221824 is an equidigital number, since it uses as much as digits as its factorization.

1628221824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1721 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1628221824 is about 40351.2307618987. The cubic root of 1628221824 is about 1176.4438141609.

The spelling of 1628221824 in words is "one billion, six hundred twenty-eight million, two hundred twenty-one thousand, eight hundred twenty-four".