1000028160 has 192 divisors, whose sum is σ = 3555770400. Its totient is φ = 266600448.

The previous prime is 1000028147. The next prime is 1000028177. The reversal of 1000028160 is 618200001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 274672 + ... + 278288.

Almost surely, 2^1000028160 is an apocalyptic number.

1000028160 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 1000028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777885200).

1000028160 is an abundant number, since it is smaller than the sum of its proper divisors (2555742240).

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

1000028160 is an equidigital number, since it uses as much as digits as its factorization.

1000028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1000028160 is about 31623.2218472438. The cubic root of 1000028160 is about 1000.0093865786.

Adding to 1000028160 its reverse (618200001), we get a palindrome (1618228161).

The spelling of 1000028160 in words is "one billion, twenty-eight thousand, one hundred sixty".