1528128000 has 480 divisors, whose sum is σ = 6306917760. Its totient is φ = 348364800.

The previous prime is 1528127983. The next prime is 1528128013. The reversal of 1528128000 is 8218251.

It is a tau number, because it is divible by the number of its divisors (480).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4031811 + ... + 4032189.

It is an arithmetic number, because the mean of its divisors is an integer number (13139412).

Almost surely, 2^1528128000 is an apocalyptic number.

1528128000 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 1528128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153458880).

1528128000 is an abundant number, since it is smaller than the sum of its proper divisors (4778789760).

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

1528128000 is an equidigital number, since it uses as much as digits as its factorization.

1528128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1528128000 is about 39091.2777995297. The cubic root of 1528128000 is about 1151.8252049609.

The spelling of 1528128000 in words is "one billion, five hundred twenty-eight million, one hundred twenty-eight thousand".