1028605032 has 192 divisors, whose sum is σ = 3522180480. Its totient is φ = 263886336.

The previous prime is 1028605013. The next prime is 1028605037. The reversal of 1028605032 is 2305068201.

1028605032 is a `hidden beast` number, since 1 + 0 + 28 + 605 + 0 + 32 = 666.

1028605032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1028604987 and 1028605005.

It is not an unprimeable number, because it can be changed into a prime (1028605037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240303 + ... + 244545.

It is an arithmetic number, because the mean of its divisors is an integer number (18344690).

Almost surely, 2^1028605032 is an apocalyptic number.

1028605032 is a gapful number since it is divisible by the number (12) 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 1028605032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761090240).

1028605032 is an abundant number, since it is smaller than the sum of its proper divisors (2493575448).

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

1028605032 is a wasteful number, since it uses less digits than its factorization.

1028605032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1028605032 is about 32071.8729106986. The cubic root of 1028605032 is about 1009.4455120662.

The spelling of 1028605032 in words is "one billion, twenty-eight million, six hundred five thousand, thirty-two".