2824428288 has 72 divisors (see below), whose sum is σ = 8200495296. Its totient is φ = 855884800.

The previous prime is 2824428241. The next prime is 2824428319. The reversal of 2824428288 is 8828244282.

It is a super-2 number, since 2×2824428288² = 15954790308109221888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 158718 + ... + 175613.

It is an arithmetic number, because the mean of its divisors is an integer number (113895768).

Almost surely, 2^2824428288 is an apocalyptic number.

It is an amenable number.

2824428288 is an abundant number, since it is smaller than the sum of its proper divisors (5376067008).

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

2824428288 is a wasteful number, since it uses less digits than its factorization.

2824428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334361 (or 334347 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 48.

The square root of 2824428288 is about 53145.3505774494. The cubic root of 2824428288 is about 1413.5467752482.

The spelling of 2824428288 in words is "two billion, eight hundred twenty-four million, four hundred twenty-eight thousand, two hundred eighty-eight".