4528128000 has 480 divisors, whose sum is σ = 16684432128. Its totient is φ = 1081344000.

The previous prime is 4528127999. The next prime is 4528128037. The reversal of 4528128000 is 8218254.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 67583967 + ... + 67584033.

Almost surely, 2^4528128000 is an apocalyptic number.

4528128000 is a gapful number since it is divisible by the number (40) 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 4528128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8342216064).

4528128000 is an abundant number, since it is smaller than the sum of its proper divisors (12156304128).

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

4528128000 is an equidigital number, since it uses as much as digits as its factorization.

4528128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4528128000 is about 67291.3664595987. The cubic root of 4528128000 is about 1654.3963564950.

The spelling of 4528128000 in words is "four billion, five hundred twenty-eight million, one hundred twenty-eight thousand".