848128000 has 96 divisors (see below), whose sum is σ = 2117049480. Its totient is φ = 339148800.

The previous prime is 848127991. The next prime is 848128003. The reversal of 848128000 is 821848.

It can be written as a sum of positive squares in 4 ways, for example, as 458302464 + 389825536 = 21408^2 + 19744^2 .

It is a super-2 number, since 2×848128000² = 1438642208768000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (848128003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254344 + ... + 257656.

Almost surely, 2^848128000 is an apocalyptic number.

848128000 is a gapful number since it is divisible by the number (80) 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 848128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058524740).

848128000 is an abundant number, since it is smaller than the sum of its proper divisors (1268921480).

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

848128000 is an equidigital number, since it uses as much as digits as its factorization.

848128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 848128000 is about 29122.6372432168. The cubic root of 848128000 is about 946.5723197209.

Adding to 848128000 its reverse (821848), we get a palindrome (848949848).

It can be divided in two parts, 8481 and 28000, that added together give a square (36481 = 191²).

The spelling of 848128000 in words is "eight hundred forty-eight million, one hundred twenty-eight thousand".