28633608 has 64 divisors (see below), whose sum is σ = 83736000. Its totient is φ = 9040896.

The previous prime is 28633607. The next prime is 28633609. The reversal of 28633608 is 80633682.

It is an interprime number because it is at equal distance from previous prime (28633607) and next prime (28633609).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28633607) 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 15 ways as a sum of consecutive naturals, for example, 616 + ... + 7592.

It is an arithmetic number, because the mean of its divisors is an integer number (1308375).

Almost surely, 2^28633608 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 28633608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41868000).

28633608 is an abundant number, since it is smaller than the sum of its proper divisors (55102392).

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

28633608 is a wasteful number, since it uses less digits than its factorization.

28633608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7011 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28633608 is about 5351.0380301396. The cubic root of 28633608 is about 305.9323187491.

It can be divided in two parts, 28633 and 608, that added together give a square (29241 = 171²).

The spelling of 28633608 in words is "twenty-eight million, six hundred thirty-three thousand, six hundred eight".