1050528000 has 288 divisors, whose sum is σ = 3612091392. Its totient is φ = 270336000.

The previous prime is 1050527963. The next prime is 1050528007. The reversal of 1050528000 is 8250501.

It is a super-2 number, since 2×1050528000² = 2207218157568000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1050528007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975824 + ... + 2976176.

It is an arithmetic number, because the mean of its divisors is an integer number (12541984).

Almost surely, 2^1050528000 is an apocalyptic number.

1050528000 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 1050528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806045696).

1050528000 is an abundant number, since it is smaller than the sum of its proper divisors (2561563392).

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

1050528000 is an equidigital number, since it uses as much as digits as its factorization.

1050528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1050528000 is about 32411.8496849532. The cubic root of 1050528000 is about 1016.5666956553.

Adding to 1050528000 its reverse (8250501), we get a palindrome (1058778501).

The spelling of 1050528000 in words is "one billion, fifty million, five hundred twenty-eight thousand".