28827648 has 168 divisors, whose sum is σ = 92006928. Its totient is φ = 8650752.

The previous prime is 28827647. The next prime is 28827649. The reversal of 28827648 is 84672882.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28827647) and next prime (28827649).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28827641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1253365 + ... + 1253387.

Almost surely, 2^28827648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46003464).

28827648 is an abundant number, since it is smaller than the sum of its proper divisors (63179280).

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

28827648 is a wasteful number, since it uses less digits than its factorization.

28827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 28827648 is about 5369.1384783781. The cubic root of 28827648 is about 306.6218291935.

It can be divided in two parts, 288 and 27648, that multiplied together give a 5-th power (7962624 = 24⁵).

The spelling of 28827648 in words is "twenty-eight million, eight hundred twenty-seven thousand, six hundred forty-eight".