1029491028 has 72 divisors (see below), whose sum is σ = 2720506880. Its totient is φ = 327862080.

The previous prime is 1029491009. The next prime is 1029491053. The reversal of 1029491028 is 8201949201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1029490983 and 1029491001.

It is a congruent number.

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, 82326 + ... + 94002.

Almost surely, 2^1029491028 is an apocalyptic number.

1029491028 is a gapful number since it is divisible by the number (18) 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 1029491028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360253440).

1029491028 is an abundant number, since it is smaller than the sum of its proper divisors (1691015852).

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

1029491028 is a wasteful number, since it uses less digits than its factorization.

1029491028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11797 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1029491028 is about 32085.6826014346. The cubic root of 1029491028 is about 1009.7352598287.

The spelling of 1029491028 in words is "one billion, twenty-nine million, four hundred ninety-one thousand, twenty-eight".