1028858160 has 240 divisors, whose sum is σ = 3562272000. Its totient is φ = 245414400.

The previous prime is 1028858093. The next prime is 1028858167. The reversal of 1028858160 is 618588201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1028858160² = 2117098226797171200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028858167) 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 47 ways as a sum of consecutive naturals, for example, 2061591 + ... + 2062089.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^1028858160 is an apocalyptic number.

1028858160 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 1028858160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136000).

1028858160 is an abundant number, since it is smaller than the sum of its proper divisors (2533413840).

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

1028858160 is a wasteful number, since it uses less digits than its factorization.

1028858160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The square root of 1028858160 is about 32075.8189295301. The cubic root of 1028858160 is about 1009.5283096281.

The spelling of 1028858160 in words is "one billion, twenty-eight million, eight hundred fifty-eight thousand, one hundred sixty".