1028147920 has 20 divisors (see below), whose sum is σ = 2390444100. Its totient is φ = 411259136.

The previous prime is 1028147899. The next prime is 1028147921. The reversal of 1028147920 is 297418201.

It can be written as a sum of positive squares in 2 ways, for example, as 342546064 + 685601856 = 18508^2 + 26184^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028147921) 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 3 ways as a sum of consecutive naturals, for example, 6425845 + ... + 6426004.

It is an arithmetic number, because the mean of its divisors is an integer number (119522205).

Almost surely, 2^1028147920 is an apocalyptic number.

1028147920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028147920 is an abundant number, since it is smaller than the sum of its proper divisors (1362296180).

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

1028147920 is a wasteful number, since it uses less digits than its factorization.

1028147920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851862 (or 12851856 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 1028147920 is about 32064.7457498106. The cubic root of 1028147920 is about 1009.2959574064.

The spelling of 1028147920 in words is "one billion, twenty-eight million, one hundred forty-seven thousand, nine hundred twenty".