1028160 has 224 divisors, whose sum is σ = 4389120. Its totient is φ = 221184.

The previous prime is 1028149. The next prime is 1028189. The reversal of 1028160 is 618201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1028160² = 2114225971200, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60472 + ... + 60488.

2^1028160 is an apocalyptic number.

1028160 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 1028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1028160 is an abundant number, since it is smaller than the sum of its proper divisors (3360960).

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

1028160 is a wasteful number, since it uses less digits than its factorization.

1028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 34 counting only the distinct ones).

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

The square root of 1028160 is about 1013.9822483653. The cubic root of 1028160 is about 100.9299910225.

The spelling of 1028160 in words is "one million, twenty-eight thousand, one hundred sixty".