1028480544 has 384 divisors, whose sum is σ = 3757178880. Its totient is φ = 266499072.

The previous prime is 1028480543. The next prime is 1028480549. The reversal of 1028480544 is 4450848201.

1028480544 is a `hidden beast` number, since 10 + 28 + 4 + 80 + 544 = 666.

1028480544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1028480499 and 1028480508.

It is not an unprimeable number, because it can be changed into a prime (1028480543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8098209 + ... + 8098335.

It is an arithmetic number, because the mean of its divisors is an integer number (9784320).

Almost surely, 2^1028480544 is an apocalyptic number.

1028480544 is a gapful number since it is divisible by the number (14) 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 1028480544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878589440).

1028480544 is an abundant number, since it is smaller than the sum of its proper divisors (2728698336).

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

1028480544 is a wasteful number, since it uses less digits than its factorization.

1028480544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1028480544 is about 32069.9320859898. The cubic root of 1028480544 is about 1009.4047873569.

It can be divided in two parts, 10284805 and 44, that added together give a square (10284849 = 3207²).

The spelling of 1028480544 in words is "one billion, twenty-eight million, four hundred eighty thousand, five hundred forty-four".