1028862880 has 96 divisors (see below), whose sum is σ = 2476656000. Its totient is φ = 403848192.

The previous prime is 1028862851. The next prime is 1028862889. The reversal of 1028862880 is 882688201.

It is a happy number.

1028862880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1028862889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2455311 + ... + 2455729.

It is an arithmetic number, because the mean of its divisors is an integer number (25798500).

Almost surely, 2^1028862880 is an apocalyptic number.

1028862880 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 1028862880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238328000).

1028862880 is an abundant number, since it is smaller than the sum of its proper divisors (1447793120).

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

1028862880 is a wasteful number, since it uses less digits than its factorization.

1028862880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 43.

The square root of 1028862880 is about 32075.8925051198. The cubic root of 1028862880 is about 1009.5298533998.

The spelling of 1028862880 in words is "one billion, twenty-eight million, eight hundred sixty-two thousand, eight hundred eighty".