1028814880 has 48 divisors (see below), whose sum is σ = 2459890944. Its totient is φ = 406562560.

The previous prime is 1028814847. The next prime is 1028814889. The reversal of 1028814880 is 884188201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1028814889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25456 + ... + 52015.

It is an arithmetic number, because the mean of its divisors is an integer number (51247728).

Almost surely, 2^1028814880 is an apocalyptic number.

1028814880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028814880 is an abundant number, since it is smaller than the sum of its proper divisors (1431076064).

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

1028814880 is an equidigital number, since it uses as much as digits as its factorization.

1028814880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77569 (or 77561 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 40.

The square root of 1028814880 is about 32075.1442709148. The cubic root of 1028814880 is about 1009.5141538064.

The spelling of 1028814880 in words is "one billion, twenty-eight million, eight hundred fourteen thousand, eight hundred eighty".