1012028160 has 576 divisors, whose sum is σ = 4038289920. Its totient is φ = 212336640.

The previous prime is 1012028159. The next prime is 1012028219. The reversal of 1012028160 is 618202101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10433232 + ... + 10433328.

It is an arithmetic number, because the mean of its divisors is an integer number (7010920).

Almost surely, 2^1012028160 is an apocalyptic number.

1012028160 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 1012028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019144960).

1012028160 is an abundant number, since it is smaller than the sum of its proper divisors (3026261760).

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

1012028160 is a wasteful number, since it uses less digits than its factorization.

1012028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1012028160 is about 31812.3900391027. The cubic root of 1012028160 is about 1003.9934180507.

The spelling of 1012028160 in words is "one billion, twelve million, twenty-eight thousand, one hundred sixty".