2828736225 has 72 divisors (see below), whose sum is σ = 5885502272. Its totient is φ = 1271894400.

The previous prime is 2828736223. The next prime is 2828736227. The reversal of 2828736225 is 5226378282.

It is a happy number.

2828736225 is a `hidden beast` number, since 2 + 8 + 287 + 362 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (2828736223) and next prime (2828736227).

It is not a de Polignac number, because 2828736225 - 2¹ = 2828736223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2828736223) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81354 + ... + 110796.

Almost surely, 2^2828736225 is an apocalyptic number.

2828736225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2828736225 is an abundant number, since it is smaller than the sum of its proper divisors (3056766047).

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

2828736225 is a wasteful number, since it uses less digits than its factorization.

2828736225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29527 (or 29519 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2828736225 is about 53185.8648984860. The cubic root of 2828736225 is about 1414.2650772055.

The spelling of 2828736225 in words is "two billion, eight hundred twenty-eight million, seven hundred thirty-six thousand, two hundred twenty-five".