1028004960 has 192 divisors, whose sum is σ = 3494860992. Its totient is φ = 253034496.

The previous prime is 1028004877. The next prime is 1028004973. The reversal of 1028004960 is 694008201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431292 + ... + 433668.

It is an arithmetic number, because the mean of its divisors is an integer number (18202401).

Almost surely, 2^1028004960 is an apocalyptic number.

1028004960 is a gapful number since it is divisible by the number (10) 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 1028004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747430496).

1028004960 is an abundant number, since it is smaller than the sum of its proper divisors (2466856032).

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

1028004960 is a wasteful number, since it uses less digits than its factorization.

1028004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1028004960 is about 32062.5164327443. The cubic root of 1028004960 is about 1009.2491756689.

The spelling of 1028004960 in words is "one billion, twenty-eight million, four thousand, nine hundred sixty".