800428224 has 56 divisors (see below), whose sum is σ = 2123336368. Its totient is φ = 266112000.

The previous prime is 800428183. The next prime is 800428229. The reversal of 800428224 is 422824008.

It is a junction number, because it is equal to n+sod(n) for n = 800428191 and 800428200.

It is not an unprimeable number, because it can be changed into a prime (800428229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70974 + ... + 81474.

Almost surely, 2^800428224 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 800428224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061668184).

800428224 is an abundant number, since it is smaller than the sum of its proper divisors (1322908144).

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

800428224 is a wasteful number, since it uses less digits than its factorization.

800428224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10913 (or 10903 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 800428224 is about 28291.8402370719. The cubic root of 800428224 is about 928.4833738221.

The spelling of 800428224 in words is "eight hundred million, four hundred twenty-eight thousand, two hundred twenty-four".