1028378880 has 108 divisors (see below), whose sum is σ = 3558123660. Its totient is φ = 274231296.

The previous prime is 1028378873. The next prime is 1028378893. The reversal of 1028378880 is 888738201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 354041856 + 674337024 = 18816^2 + 25968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 33115 + ... + 56154.

Almost surely, 2^1028378880 is an apocalyptic number.

1028378880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028378880 is an abundant number, since it is smaller than the sum of its proper divisors (2529744780).

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

1028378880 is an equidigital number, since it uses as much as digits as its factorization.

1028378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89296 (or 89279 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 1028378880 is about 32068.3470107207. The cubic root of 1028378880 is about 1009.3715267991.

The spelling of 1028378880 in words is "one billion, twenty-eight million, three hundred seventy-eight thousand, eight hundred eighty".