1028128710 has 128 divisors (see below), whose sum is σ = 2957036544. Its totient is φ = 223856640.

The previous prime is 1028128679. The next prime is 1028128711. The reversal of 1028128710 is 178218201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028128711) 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, 368842 + ... + 371618.

It is an arithmetic number, because the mean of its divisors is an integer number (23101848).

Almost surely, 2^1028128710 is an apocalyptic number.

1028128710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028128710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478518272).

1028128710 is an abundant number, since it is smaller than the sum of its proper divisors (1928907834).

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

1028128710 is a wasteful number, since it uses less digits than its factorization.

1028128710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878.

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 1028128710 is about 32064.4461982427. The cubic root of 1028128710 is about 1009.2896714444.

The spelling of 1028128710 in words is "one billion, twenty-eight million, one hundred twenty-eight thousand, seven hundred ten".