1028160000 has 800 divisors, whose sum is σ = 4602026880. Its totient is φ = 221184000.

The previous prime is 1028159999. The next prime is 1028160011. The reversal of 1028160000 is 618201.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×1028160000² = 2114225971200000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60479992 + ... + 60480008.

Almost surely, 2^1028160000 is an apocalyptic number.

1028160000 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 1028160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301013440).

1028160000 is an abundant number, since it is smaller than the sum of its proper divisors (3573866880).

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

1028160000 is an frugal number, since it uses more digits than its factorization.

1028160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

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

The square root of 1028160000 is about 32064.9341181297. The cubic root of 1028160000 is about 1009.2999102252.

Adding to 1028160000 its reverse (618201), we get a palindrome (1028778201).

It can be divided in two parts, 1028 and 160000, that added together give a triangular number (161028 = T₅₆₇).

The spelling of 1028160000 in words is "one billion, twenty-eight million, one hundred sixty thousand".