28528000 has 64 divisors (see below), whose sum is σ = 70967520. Its totient is φ = 11404800.

The previous prime is 28527959. The next prime is 28528007. The reversal of 28528000 is 82582.

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

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28528007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15109 + ... + 16891.

Almost surely, 2^28528000 is an apocalyptic number.

28528000 is a gapful number since it is divisible by the number (20) 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 28528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35483760).

28528000 is an abundant number, since it is smaller than the sum of its proper divisors (42439520).

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

28528000 is an equidigital number, since it uses as much as digits as its factorization.

28528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 28528000 is about 5341.1609224962. The cubic root of 28528000 is about 305.5557367614. Note that the first 3 decimals are identical.

The spelling of 28528000 in words is "twenty-eight million, five hundred twenty-eight thousand".