1026829128 has 96 divisors (see below), whose sum is σ = 2791203840. Its totient is φ = 314645760.

The previous prime is 1026829081. The next prime is 1026829147. The reversal of 1026829128 is 8219286201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1553118 + ... + 1553778.

It is an arithmetic number, because the mean of its divisors is an integer number (29075040).

Almost surely, 2^1026829128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026829128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395601920).

1026829128 is an abundant number, since it is smaller than the sum of its proper divisors (1764374712).

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

1026829128 is a wasteful number, since it uses less digits than its factorization.

1026829128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 1026829128 is about 32044.1746344012. The cubic root of 1026829128 is about 1008.8642358218.

The spelling of 1026829128 in words is "one billion, twenty-six million, eight hundred twenty-nine thousand, one hundred twenty-eight".