2828957248 has 84 divisors (see below), whose sum is σ = 6243927060. Its totient is φ = 1270204416.

The previous prime is 2828957231. The next prime is 2828957249. The reversal of 2828957248 is 8427598282.

It can be written as a sum of positive squares in 6 ways, for example, as 158961664 + 2669995584 = 12608^2 + 51672^2 .

It is a super-2 number, since 2×2828957248² = 16005998222023467008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2828957249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396658 + ... + 403726.

It is an arithmetic number, because the mean of its divisors is an integer number (74332465).

Almost surely, 2^2828957248 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 2828957248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121963530).

2828957248 is an abundant number, since it is smaller than the sum of its proper divisors (3414969812).

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

2828957248 is a wasteful number, since it uses less digits than its factorization.

2828957248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144 (or 7121 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 55.

The square root of 2828957248 is about 53187.9426938098. The cubic root of 2828957248 is about 1414.3019107293.

The spelling of 2828957248 in words is "two billion, eight hundred twenty-eight million, nine hundred fifty-seven thousand, two hundred forty-eight".