1028164320 has 96 divisors (see below), whose sum is σ = 3598590240. Its totient is φ = 274176000.

The previous prime is 1028164307. The next prime is 1028164327. The reversal of 1028164320 is 234618201.

1028164320 is a `hidden beast` number, since 1 + 0 + 281 + 64 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028164327) 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 15 ways as a sum of consecutive naturals, for example, 114681 + ... + 123320.

It is an arithmetic number, because the mean of its divisors is an integer number (37485315).

Almost surely, 2^1028164320 is an apocalyptic number.

1028164320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1028164320 is an abundant number, since it is smaller than the sum of its proper divisors (2570425920).

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

1028164320 is a wasteful number, since it uses less digits than its factorization.

1028164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238025 (or 238011 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1028164320 is about 32065.0014813659. The cubic root of 1028164320 is about 1009.3013238086.

The spelling of 1028164320 in words is "one billion, twenty-eight million, one hundred sixty-four thousand, three hundred twenty".