1029047728 has 40 divisors (see below), whose sum is σ = 2061296640. Its totient is φ = 497152320.

The previous prime is 1029047717. The next prime is 1029047731. The reversal of 1029047728 is 8277409201.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438783 + ... + 441121.

It is an arithmetic number, because the mean of its divisors is an integer number (51532416).

Almost surely, 2^1029047728 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 1029047728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030648320).

1029047728 is an abundant number, since it is smaller than the sum of its proper divisors (1032248912).

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

1029047728 is a wasteful number, since it uses less digits than its factorization.

1029047728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 1029047728 is about 32078.7737920264. The cubic root of 1029047728 is about 1009.5903079733.

The spelling of 1029047728 in words is "one billion, twenty-nine million, forty-seven thousand, seven hundred twenty-eight".