1028408880 has 320 divisors, whose sum is σ = 3579199488. Its totient is φ = 243056640.

The previous prime is 1028408869. The next prime is 1028408921. The reversal of 1028408880 is 888048201.

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, 5944474 + ... + 5944646.

Almost surely, 2^1028408880 is an apocalyptic number.

1028408880 is a gapful number since it is divisible by the number (10) 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 1028408880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789599744).

1028408880 is an abundant number, since it is smaller than the sum of its proper divisors (2550790608).

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

1028408880 is a wasteful number, since it uses less digits than its factorization.

1028408880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 1028408880 is about 32068.8147582663. The cubic root of 1028408880 is about 1009.3813418753.

The spelling of 1028408880 in words is "one billion, twenty-eight million, four hundred eight thousand, eight hundred eighty".