1028648448 has 240 divisors, whose sum is σ = 3234316800. Its totient is φ = 313528320.

The previous prime is 1028648447. The next prime is 1028648449. The reversal of 1028648448 is 8448468201.

It is an interprime number because it is at equal distance from previous prime (1028648447) and next prime (1028648449).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028648447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2713923 + ... + 2714301.

It is an arithmetic number, because the mean of its divisors is an integer number (13476320).

Almost surely, 2^1028648448 is an apocalyptic number.

1028648448 is a gapful number since it is divisible by the number (18) 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 1028648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617158400).

1028648448 is an abundant number, since it is smaller than the sum of its proper divisors (2205668352).

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

1028648448 is a wasteful number, since it uses less digits than its factorization.

1028648448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 1028648448 is about 32072.5497583214. The cubic root of 1028648448 is about 1009.4597143007.

The spelling of 1028648448 in words is "one billion, twenty-eight million, six hundred forty-eight thousand, four hundred forty-eight".