6448468628 has 48 divisors (see below), whose sum is σ = 13685293440. Its totient is φ = 2595403776.

The previous prime is 6448468603. The next prime is 6448468633. The reversal of 6448468628 is 8268648446.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207788 + ... + 236796.

It is an arithmetic number, because the mean of its divisors is an integer number (285110280).

Almost surely, 2^6448468628 is an apocalyptic number.

6448468628 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6448468628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6842646720).

6448468628 is an abundant number, since it is smaller than the sum of its proper divisors (7236824812).

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

6448468628 is a wasteful number, since it uses less digits than its factorization.

6448468628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29504 (or 29502 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 56.

The square root of 6448468628 is about 80302.3575494518. The cubic root of 6448468628 is about 1861.3106563680.

The spelling of 6448468628 in words is "six billion, four hundred forty-eight million, four hundred sixty-eight thousand, six hundred twenty-eight".