2828879262 has 64 divisors (see below), whose sum is σ = 6871345920. Its totient is φ = 855554400.

The previous prime is 2828879257. The next prime is 2828879267. The reversal of 2828879262 is 2629788282.

2828879262 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2828879257) and next prime (2828879267).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2828879199 and 2828879208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2828879267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 316953 + ... + 325755.

It is an arithmetic number, because the mean of its divisors is an integer number (107364780).

Almost surely, 2^2828879262 is an apocalyptic number.

2828879262 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828879262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435672960).

2828879262 is an abundant number, since it is smaller than the sum of its proper divisors (4042466658).

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

2828879262 is a wasteful number, since it uses less digits than its factorization.

2828879262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9366 (or 9360 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 2828879262 is about 53187.2095714750. The cubic root of 2828879262 is about 1414.2889145671.

The spelling of 2828879262 in words is "two billion, eight hundred twenty-eight million, eight hundred seventy-nine thousand, two hundred sixty-two".