1028916820 has 24 divisors (see below), whose sum is σ = 2161369728. Its totient is φ = 411444000.

The previous prime is 1028916817. The next prime is 1028916821. The reversal of 1028916820 is 286198201.

It is a self number, because there is not a number n which added to its sum of digits gives 1028916820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028916821) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 93825 + ... + 104215.

It is an arithmetic number, because the mean of its divisors is an integer number (90057072).

Almost surely, 2^1028916820 is an apocalyptic number.

1028916820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028916820 is an abundant number, since it is smaller than the sum of its proper divisors (1132452908).

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

1028916820 is a wasteful number, since it uses less digits than its factorization.

1028916820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15351 (or 15349 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 1028916820 is about 32076.7333124806. The cubic root of 1028916820 is about 1009.5474952352.

The spelling of 1028916820 in words is "one billion, twenty-eight million, nine hundred sixteen thousand, eight hundred twenty".