1980528000 has 512 divisors, whose sum is σ = 7454453760. Its totient is φ = 464640000.

The previous prime is 1980527993. The next prime is 1980528019. The reversal of 1980528000 is 8250891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 63887985 + ... + 63888015.

It is an arithmetic number, because the mean of its divisors is an integer number (14559480).

Almost surely, 2^1980528000 is an apocalyptic number.

1980528000 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 1980528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727226880).

1980528000 is an abundant number, since it is smaller than the sum of its proper divisors (5473925760).

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

1980528000 is an equidigital number, since it uses as much as digits as its factorization.

1980528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1980528000 is about 44503.1234858858. The cubic root of 1980528000 is about 1255.8188441447.

Adding to 1980528000 its reverse (8250891), we get a palindrome (1988778891).

The spelling of 1980528000 in words is "one billion, nine hundred eighty million, five hundred twenty-eight thousand".