2628866448 has 320 divisors, whose sum is σ = 8699443200. Its totient is φ = 753338880.

The previous prime is 2628866407. The next prime is 2628866453. The reversal of 2628866448 is 8446688262.

2628866448 is a `hidden beast` number, since 2 + 62 + 88 + 66 + 448 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2628866394 and 2628866403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7575811 + ... + 7576157.

It is an arithmetic number, because the mean of its divisors is an integer number (27185760).

Almost surely, 2^2628866448 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 2628866448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349721600).

2628866448 is an abundant number, since it is smaller than the sum of its proper divisors (6070576752).

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

2628866448 is a wasteful number, since it uses less digits than its factorization.

2628866448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 2628866448 is about 51272.4726144546. The cubic root of 2628866448 is about 1380.1390408110.

The spelling of 2628866448 in words is "two billion, six hundred twenty-eight million, eight hundred sixty-six thousand, four hundred forty-eight".