1034828928 has 96 divisors (see below), whose sum is σ = 3403258560. Its totient is φ = 295663104.

The previous prime is 1034828911. The next prime is 1034828929. The reversal of 1034828928 is 8298284301.

1034828928 is a `hidden beast` number, since 1 + 0 + 348 + 289 + 28 = 666.

1034828928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1034828929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56100 + ... + 72227.

It is an arithmetic number, because the mean of its divisors is an integer number (35450610).

Almost surely, 2^1034828928 is an apocalyptic number.

1034828928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1034828928 is an abundant number, since it is smaller than the sum of its proper divisors (2368429632).

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

1034828928 is a wasteful number, since it uses less digits than its factorization.

1034828928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128354 (or 128339 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1034828928 is about 32168.7570167080. The cubic root of 1034828928 is about 1011.4774078005.

The spelling of 1034828928 in words is "one billion, thirty-four million, eight hundred twenty-eight thousand, nine hundred twenty-eight".