1028677824 has 84 divisors (see below), whose sum is σ = 2956742880. Its totient is φ = 341936640.

The previous prime is 1028677817. The next prime is 1028677883. The reversal of 1028677824 is 4287768201.

It is a self number, because there is not a number n which added to its sum of digits gives 1028677824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221769 + ... + 226359.

It is an arithmetic number, because the mean of its divisors is an integer number (35199320).

Almost surely, 2^1028677824 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 1028677824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478371440).

1028677824 is an abundant number, since it is smaller than the sum of its proper divisors (1928065056).

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

1028677824 is a wasteful number, since it uses less digits than its factorization.

1028677824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4985 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1028677824 is about 32073.0077167702. The cubic root of 1028677824 is about 1009.4693235462.

The spelling of 1028677824 in words is "one billion, twenty-eight million, six hundred seventy-seven thousand, eight hundred twenty-four".