28783968 has 96 divisors (see below), whose sum is σ = 79252992. Its totient is φ = 9139200.

The previous prime is 28783967. The next prime is 28783991. The reversal of 28783968 is 86938782.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 28783968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28783961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279405 + ... + 279507.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^28783968 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 28783968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496).

28783968 is an abundant number, since it is smaller than the sum of its proper divisors (50469024).

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

28783968 is a wasteful number, since it uses less digits than its factorization.

28783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 28783968 is about 5365.0692446603. The cubic root of 28783968 is about 306.4668852113.

It can be divided in two parts, 287 and 83968, that added together give a triangular number (84255 = T₄₁₀).

The spelling of 28783968 in words is "twenty-eight million, seven hundred eighty-three thousand, nine hundred sixty-eight".