28616000 has 168 divisors, whose sum is σ = 83567016. Its totient is φ = 9676800.

The previous prime is 28615999. The next prime is 28616009. The reversal of 28616000 is 61682.

It can be written as a sum of positive squares in 4 ways, for example, as 906304 + 27709696 = 952^2 + 5264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28616009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391964 + ... + 392036.

Almost surely, 2^28616000 is an apocalyptic number.

28616000 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 28616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783508).

28616000 is an abundant number, since it is smaller than the sum of its proper divisors (54951016).

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

28616000 is an equidigital number, since it uses as much as digits as its factorization.

28616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 28616000 is about 5349.3924888720. The cubic root of 28616000 is about 305.8695957088.

Adding to 28616000 its reverse (61682), we get a palindrome (28677682).

The spelling of 28616000 in words is "twenty-eight million, six hundred sixteen thousand".