28516000 has 48 divisors (see below), whose sum is σ = 70073640. Its totient is φ = 11404800.

The previous prime is 28515997. The next prime is 28516013. The reversal of 28516000 is 61582.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10163344 + 18352656 = 3188^2 + 4284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 436 + ... + 7564.

Almost surely, 2^28516000 is an apocalyptic number.

28516000 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 28516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35036820).

28516000 is an abundant number, since it is smaller than the sum of its proper divisors (41557640).

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

28516000 is an equidigital number, since it uses as much as digits as its factorization.

28516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7154 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 28516000 is about 5340.0374530522. The cubic root of 28516000 is about 305.5128878285.

Adding to 28516000 its reverse (61582), we get a palindrome (28577582).

It can be divided in two parts, 28 and 516000, that multiplied together give a triangular number (14448000 = T₅₃₇₅).

The spelling of 28516000 in words is "twenty-eight million, five hundred sixteen thousand".