2828853342 has 128 divisors (see below), whose sum is σ = 7593062400. Its totient is φ = 762615648.

The previous prime is 2828853331. The next prime is 2828853373. The reversal of 2828853342 is 2433588282.

It is a happy number.

2828853342 is a `hidden beast` number, since 28 + 288 + 5 + 3 + 342 = 666.

It is a super-2 number, since 2×2828853342² = 16004822461089137928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2204233 + ... + 2205515.

It is an arithmetic number, because the mean of its divisors is an integer number (59320800).

Almost surely, 2^2828853342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828853342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796531200).

2828853342 is an abundant number, since it is smaller than the sum of its proper divisors (4764209058).

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

2828853342 is a wasteful number, since it uses less digits than its factorization.

2828853342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 2828853342 is about 53186.9659033113. The cubic root of 2828853342 is about 1414.2845950142.

The spelling of 2828853342 in words is "two billion, eight hundred twenty-eight million, eight hundred fifty-three thousand, three hundred forty-two".