4528000 has 64 divisors (see below), whose sum is σ = 11297520. Its totient is φ = 1804800.

The previous prime is 4527979. The next prime is 4528009. The reversal of 4528000 is 8254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4528009) 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, 15859 + ... + 16141.

Almost surely, 2^4528000 is an apocalyptic number.

4528000 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 4528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648760).

4528000 is an abundant number, since it is smaller than the sum of its proper divisors (6769520).

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

4528000 is an equidigital number, since it uses as much as digits as its factorization.

4528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4528000 is about 2127.9097725233. The cubic root of 4528000 is about 165.4380767659.

The spelling of 4528000 in words is "four million, five hundred twenty-eight thousand".